Bramble Brewer Tanglefoot Bomb Question...

[Devastation Bob]

Attached the relevant rules. This is my question. The Bramble Brewer Alchemist archetype modifies the tanglefoot discovery by adding their int bonus to the "entanglement duration". But going back to the base item, there is no duration to the entanglement, you can STR or cut your way out. Does this mean that you are entangled for that duration before you can attempt to free yourself? Any assistance would be greatly appreciated.

Tanglefoot Bomb:

Benefit: A creature that takes a direct hit from a tanglefoot bomb must save against the bomb’s DC or be entangled and glued to the floor as if it had failed its save against a tanglefoot bag. Creatures in the splash area that fail their saves are entangled but not glued to the floor; those who make this save are not entangled at all.

Tanglefoot Bag:

A tanglefoot bag is a small sack filled with tar, resin, and other sticky substances. When you throw a tanglefoot bag at a creature (as a ranged touch attack with a range increment of 10 feet), the bag comes apart and goo bursts out, entangling the target and then becoming tough and resilient upon exposure to air. An entangled creature takes a –2 penalty on attack rolls and a –4 penalty to Dexterity and must make a DC 15 Reflex save or be glued to the floor, unable to move. Even on a successful save, it can move only at half speed. Huge or larger creatures are unaffected by a tanglefoot bag. A flying creature is not stuck to the floor, but it must make a DC 15 Reflex save or be unable to fly (assuming it uses its wings to fly) and fall to the ground. A tanglefoot bag does not function underwater.

A creature that is glued to the floor (or unable to fly) can break free by making a DC 17 Strength check or by dealing 15 points of damage to the goo with a slashing weapon. A creature trying to scrape goo off itself, or another creature assisting, does not need to make an attack roll; hitting the goo is automatic, after which the creature that hit makes a damage roll to see how much of the goo was scraped off. Once free, the creature can move (including flying) at half speed. If the entangled creature attempts to cast a spell, it must make concentration check with a DC of 15 + the spell's level or be unable to cast the spell. The goo becomes brittle and fragile after 2d4 rounds, cracking apart and losing its effectiveness. An application of universal solvent to a stuck creature dissolves the alchemical goo immediately.

Bramble Brewer:

At 2nd level, a bramble brewer gains the tanglefoot bomb discovery, but the entanglement's duration persists for a number of rounds equal to the bramble brewer's Intelligence modifier (minimum 1 round). Additionally, when a bramble brewer throws a tanglefoot bomb, it transforms all squares in its splash radius into difficult terrain that persists for as long as the bomb's entangling effect. Although these bombs deal no damage, for every 1d6 points of damage the bramble brewer's regular bombs deal, the briar bomb's splash radius increases by 5 feet.

[Pathos]

The entanglement duration can be found under the Tanglefoot Bag entry (2d4 round). So, in the case of this archetype, add in your Int bonus to that.

EDIT: Oops... I misread.
The duration for entanglement becomes static (equal to your Int bonus), vs the random duration of a Tanglefoot Bag (2d4 rounds).

[Casual Viking]

No, you can wait (Int) rounds OR cut your way out. Just like you can wait 2d4 rounds with a TFbag OR cut your way out.