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Thanks for the further answers Tridus, Easl and Finnoan. That cleared up a lot of things, I appreciate it.

Pathfinder seems like a pretty complex system. But I guess the upside is that it offers a lot of options for character classes, races, feats, and everything else – more than D&D at least.

Thanks everybody for taking the time to answer.
It seems that my options for an Int-based spellcasting archetype that has access to most of these spells would be Witch and maybe Psychic and Skysage.

It would be nice if there was a tool or an app that would allow you to build characters and automatically choose only the spells and alchemical formulas that are available to you based on your class and feats. The two tools I have tried out, pathbuilder2e.com and wanderersguide.app, unfortunately don’t seem to offer such a process for spells and alchemical formulas but only for feats and skills.
Do you know of some other tool that does allow full automatized options for character building, including the selection of spells and formulas available to you?

So, would taking the Alchemist Dedication plus the Advanced Alchemy feat give me access to all the formulas, including the Major mutagens and more advanced bombs, simply by gaining levels in my main, Investigator class? And would I in case of not taking any other Alchemist archetype feats fall behind in bomb potency DCs, which would make them useless at higher levels?

Similarly, if I dipped into the Alchemist archetype in a few free archetype levels, and therefore end up with fewer feats to spend on a spellcasting free archetype, would I fall behind on spell DC scalings for that class or would I only lose access to a few higher level spells and spell slots (which still isn’t a small thing)?

I will have to research how the Learn a Spell activity works and to which classes it is available (I’m guessing probably only to prepared casters).
I will also have to research wands, how many charges they have, and whether you need a feat like Trick magic Item to use them.

You can look up the spells and see what traditions they belong to as that is listed within each spell.

There are no class-based spell-lists in this system, instead classes gain access to spells based on the tradition they gain from the class choices they make. The archetypes and classes do absolutely tell you which traditions they have access to.

Most of these spells are also uncommon, so they arent not really meant to be available at all times and can be restricted depending on what kind campaign the GM is running, Detect alignment also does not exist anymore and its replacements would only tell you about undead/fiends/Unholy clerics/champions. Otherwise it sounds like you might want a Witch, Bard or Sorcerer so you can get hold of the occult list since most of the spells you listed are available to the occult tradition.

For alchemist, The moment you pick up the dedication at level 2 you can start crafting 4 silvertongue per day, But you use Quick Alchemy to create items higher than your level, so the Major mutagens are not available until level 17.

Would I need to take any other Alchemist feats beyond the dedication feat to be able to eventaully get access to crafting the Major mutagens?

I forgot to add Heroism and Greater Heroism to the list of spells as well (they would grant me a bonus to skill checks like Diplomacy, which is important for my Investigator character).

I am playing an Investigator Interrogator in a free-archetype Pathfinder 2e campaign (we get archetype feats at every other level, starting from level 2).
Which Intelligence-based free archetype (preferably with spontaneous spellcasting since that is more flexible, but prepared is OK too) would give me access to most of these detective-like spells I have found so far: Object-Reading, Locate, Ring of Truth, Discern Lies, Scouting Eye, Pinpoint, Proliferating Eyes, Detect Alignment, Impecable Flow?

I am new to Pathfinder, so I don’t have a grasp of which spellcasting archetypes get access to which spells, and the Archives of Nethys pages on these spells also don’t list which classes and archetypes have access to these spells.

Somewhat unrelated to the question above, I have also considered taking the Alchemist Archetype, just because it would allow me to craft the Silvertongue Mutagen and get a bonus to Diplomacy and Intimidation (but since that would be the only boost to my detective abilities the Alchemist archetype would grant me, it isn’t that enticing). How many free archetype levels would I need to sink into the Alchemist to be able to craft the Major Silvertongue Mutagen?

Thanks, Finoan! It's good that I get at least something out of what seems to be the weakest Investigator subclass or methodology :)

It becomes Offguard on both Critical-Success and Success, Whenever an outcome says that it has the same effects as another outcome that means in full with any modifications mentioned within. As the circumstance bonus being +2 instead.

The bonus is also to Perception DC as you are not the one rolling the secondary check in this scenario you gain offguard regardless of any Lie to you.

Summary,
Offguard on both Success and Critical Success.
Offguard regardless if the creature truthfully answers, successfully lies, or fails to lie to you when answering your question.
(Otherwise you would've known the creature was lying if you failed to detect the lie)

Thanks, NorrKnekten, that clears everything up!

Pointed Question:
"You ask a question that charms or needles someone in just the right way. Ask a question of a non-allied creature that you can see. Attempt a Diplomacy check against the creature’s Will DC. The creature is then temporarily immune for 1 hour.

Critical Success The target must directly answer your question. It doesn't have to answer truthfully, but you gain a +4 circumstance bonus to your Perception DC if the creature attempts to Lie to you. Whether it answers truthfully or not, you glean something from its body language, and it is off-guard to the Strike you make using Devise a Stratagem against it before the end of your turn.

Success As critical success, but the circumstance bonus to your Perception DC is +2.

Failure The target can refuse to answer you as normal.

Critical Failure The target can refuse to answer you as normal, and its attitude toward you decreases by one step due to your aggravating attention."

--
I am not entirely clear whether the creature becomes off-guard both on Critical Success and Success, or only on Critical Success.

I am also not clear whether the creature becomes off-guard only if you besides succeeding on the Diplomacy check also succeed on the Perception check to determine whether it is lying or not.
The rule says, "Whether it answers truthfully or not, you glean something from its body language...", but I am not sure whether that means that you get that bonus even if you fail in determining whether it is lying or not.