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"Let me check the list", Zenobia says. She reads through the entries, then concludes: "We have done all the other mysteries, only the missing student to be done. So, back inside and let's go through every room and keep our eyes and ears open."

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Jozan nods, thinking of all of the explanations they've come up with so far. "I would not be surprised if the 13th student is some form of trickster. There has been too much energy from the Maelstrom spilling about, and those beads found earlier being a focus does not dissuade me from this theory." He breathes deeply through his nose for a moment, before focusing and readying to move with the team.

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Red Roy lets loose a long, pitiful whine. "Oh, so its not haunted by ghosts, its just infused with energy from the friggin' MAELSTROM, like that's so much better. We should tell Dacilane to close up shop."

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To the classrooms!
Each of the three spacious classrooms (A, B, and C on the map) contains rows of desks. Windows allow both natural light and a view of the grounds to filter in. Lamps hang from the ceiling to provide additional illumination for the area, but are off now.
It is evident that education at Dacilane Academy is both individualized and chosen by the student. As students bring an eclectic range of knowledge with them, teachers work with students to identify gaps and create goals for learning. Each desk is labeled with a student’s name, including Sabazio, Voxi, and Paisley. Peeking inside the desks’ storage reveals a mishmash of notebooks, textbooks, and personal effects.
A - Ms. Laforent’s Classroom
Colorful posters wallpaper this room, illustrating flora and fauna from across Golarion. A pet tortoise sleeps in a small terrarium in a corner of the room (and remarkably does not leap out to attack).
B - Mr. Ngon’s Classroom
On the teacher's desk in this room, dictionaries and thesauri stand in neat, right-angled stacks. A board near the window displays posted student compositions and poetry in a variety of forms. You do notice that a disproportionate number of them seem to incorporate snake imagery.
C - Ms. Hirasara’s Classroom
This room is notably cluttered with small baubles and minor magical knickknacks used to teach the basics of magic. Several desks contain sculpted clay figures.
------------------------------
You finally end up at the entrance to the lunch room, or as the sign on the wall reads... “Launch Room.”
Walking inside, you find dining tables and chairs are arranged in neat rows, providing ample space for group meals. Storage cabinets sit below the
window overlooking the grounds.
Bun Bun and Red Roy both sniff out a basket of hundreds of gift-wrapped cookies from Dulethre’s Delights, a local bakery, that has a sign reading “Please Take These!” pinned to its handle.
What next, are we done??"

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"Ooooh. Cookieth! I thuppothe one couldn't hurt."
The Professor helps himself to one of the cookies. He ponders as he chews.
"We should thee about thomehow thevering the tieth that thith location has to the maelthtrom. Thethe are quite deliciouth. " He picks out another cookie.

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"How to find an invisible student? What knowledge do we have?" Zenobia wonders as she walks through the classrooms. "Voxi was those who collected the list, and 'Sab' mentioned there might be Sabazio. Paisley doesn't sound familiar. Do we have a full roster here somewhere, without student 19?"
When they get to the lunch room and Bun Bun goes to munch the cookies, there's the metallic snap as Zenobia opens her fans. "A school full of pranks and curses and you dare to eat those?!" she shouts. She takes a couple of steps backward, quickly calms herself and keeps her eyes at Bun Bun, fans ready. "So, maybe it is nothing, maybe you turn into a werepoppet. Be ready." she says as she waits to see if the cookies have some nefarious effect.

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Apart from affecting Bun Bun's waistline at some point in the future, the cookies are simply tasty.
There was a roster in the teacher's lounge, you recall...
-----------
Stepping back into the hallway, a lone figure appears and giggles, sillouetted against the dim lights from corridors beyond.
It is a halfling dressed in a white school uniform. Several bells around their wrist chime with every movement. “You’ve been caught after hours,” they say, nearly singing in glee. “Students are not allowed on Dacilane Academy grounds after hours. If I tell the headmaster, you’ll be in big trouble.”
They giggle. The sound cuts through the otherwise quiet air of the school.
“Of course, maybe there’s something you can do to stay out of trouble. I wonder what you can do so I won’t tell on you.”
A grin spreads across their face. Their teeth are sharper than a halfling’s ever should be.
“Oh, I know what you need to do. You can finish my homework! It simply must be done, and it’s so very late.” The halfling flashes their too-pointed teeth again as they prepare to open their satchel, awaiting your response.
New pic

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"I think we found our student #19..." Jozan growls. He steps forward, though not too far from his companions.
"You say you'll tell the headmaster that we are on grounds after hours, but you speak of homework as though you are a student yourself. Are you one of the teachers, or a student?" Jozan idly fingers his holy symbol of Sarenrae, hoping to keep the being talking until the more learned members of his party can figure out what he is talking to.

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The halfling steps forward too, matching your steps, stumbling as she tries to pull a large book from her satchel, but gives up with a giggle.
"Teacher, student? What's the difference, anyways. Tell me, who holds the deed on knowledge when it comes down to it? And you have been tresspassing. That is a fact. But help me with a few meaningless answers, and I'll conveniently forget what I've seen here."
As the student approaches, Jozan notices that the bracelet in his pouch (that he investigated from the lavatory) has begun to slightly hum.
Jozan can give me a Religion check to maybe understand why...
------------------------------
Bun Bun and Jozan can tell she is likely trying to obfuscate her true intentions with the mysterious reply. Jozan even thinks she has hostile intentions toward the school and its mission.

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"We do have the special permission to be here, unlike you, it seems. So this headmaster you are talking about is probably a myth. Still, I can be nice, show the homework, and we can discuss about choices we have about who can be where", Zenobia offers the figure.

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Professor Bun Bun leans in closer as the 'halfling' begins to open their satchel. "Are you having trouble with your homework? Ath a profeththor I believe that I am eminently qualified to help you. I'm an exthellent helper."

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Religion: 1d20 + 7 + 1 ⇒ (12) + 7 + 1 = 20
Jozan thinks, trying to recall all of his lessons and training from the past. While thinking he rumbles out, as low as he can, "Do not trust her, it feels like she's trying to harm the school..."

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Jozan's words are underpinned by a realization that the "halfling student" is likely a guise for something far stranger and that the planar focus in his pouch could be used to dismiss that creature from the material plane, but it will take some subterfuge as well (maybe even brawn)...
---------------------------------
The student, eyes locked on you the whole time, saunters over to Mr. Ngon’s classroom and peers in.
"Studying is not for the faint of heart, I have lots of classes!"
She twirls her hands to emphasize the volume.
"Conjurations, conjugations, topological and biological! You will be tested. Do we have a deal?"
It seems there are three paths that can be taken: dismiss the creature, do the homework tasks, or as always... straight-up violence. What does the group want to do?

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"Not for the faint of heart indeed. Fortunately, my thtudiouth thkillth and thtore of knowledge are beyond reproach. I am Quite Thoroughly Educated after all" Professor Bun Bun clearly pronounces the capital letters.
PBB chooses homework

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Jozan fingers the pouch where the beads reside, considering the options. How loud is the dismissal? Will it be noticeable if the creature is focused on the others doing the "homework"?

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@Jozan It would need a deception check to Create a Diversion from someone to even start the dismissal. The three options are designed to be mutually exclusive. Although I would allow the deception to take place at the same time others are attempting the homework. If it fails though, the creature will not be happy and it ruin the homework route. Also, the person doing the dismissal check (religion) could not also attempt the homework route. Fewer players attempting the homework task would mean less chance of its success (though not impossible).

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While the creature is distracted showing the "homework" to Professor Bun Bun and Zenobia, Jozan nudges Red Roy, "Hey Red Roy, can you keep that thing's attention while I try something?" He shifts the pouch with the vibrating beads to the front of his belt. "I think these beads may be able to stop whatever that thing is doing here..."

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"Do you think this might be a.... g-g-g-ghost, Jozan?" Red Roy whines.
Trying to steel up his courage, Red Roy approaches the halfling student. "Can I see your book on conjugations? We don't have those in Shoony. Its a really tough language, you can't tell if you're talking about last Tuesday or three weeks from today."
Deception: 1d20 + 10 ⇒ (18) + 10 = 28

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The student pauses. "So, its the homework then? I knew you'd see the import!"
Reams of paper appears as the Scholar spreads their hands and giggles. The initial avalanche of books fills the room making it difficult terrain.
"Conjugations? There in there somewhere. Better have a look!"
With the creature distracted, one of you can attempt to use the planar focus’s resonance with the Maelstrom to open a minor rift with a DC 20 Religion check.

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Jozan, taking his opportunity, pulls the beads from his pouch and focuses on their energy resonating in his hand.
Religion: 1d20 + 7 + 1 ⇒ (5) + 7 + 1 = 13
Hero Point Religion: 1d20 + 7 + 1 ⇒ (7) + 7 + 1 = 15
He can't quite seem to get the energy to move the way he wants it to, and no rift forms.

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As Jozan and Red Roy try the shortcut to victory, the Professor and Zenobia can attempt to be good students and move into the room to complete the homework task instead. But it will take a superior effort to succeed. Only critical successes on these two homework checks will prevent the Scholar from acting upon the failed rift attempt.
An initial examination reveals that the books cover nearly every subject taught at Dacilane Academy (and some clearly not taught, including planar mathematics, languages of Avistan, and the history of Absalom from Earthfall to present).
Bun Bun and Zenobia can give me either a DC 21 Arcana check to complete a list of significant dragons, a DC 19 Society check to copy a worksheet on conjugations in Azlanti, a DC 20 Crafting check to describe a structure using non‑Material-Plane dimensions, a DC 19 Medicine check to explain the biology of a protean creature, or a DC 17 Academia Lore check as they prove that the homework is impossible to complete.

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Zenobia looks at the homework. "Oh, these conjugations look interesting..."
She starts copying the worksheet.
Society: 1d20 + 7 ⇒ (3) + 7 = 10
She gets a bit too interested in reading and fumbles the writing part.

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academia lore: 1d20 + 8 ⇒ (19) + 8 = 27
Professor Bun Bun is outraged and the impossible to complete homework.
"What thort of shenaniganth ith thith? Thith tho-called 'homework' ith nonthenthe. Any educator worth hith thalt can thee that."