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Burn It! increases fire damage:

Your spells and alchemical items that deal fire damage gain a status bonus to damage equal to half the spell's level or one-quarter the item's level (minimum 1).

Wildfire does fire damage per square:

A creature that moves on the ground through the area takes 1 fire damage for every square of that area it moves into.

Is the combined damage increase per square?

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    \$\begingroup\$ It's worth noting that Burn it! is not the only Status bonus to damage. Bards can provide a Status bonus to all damage, not just fire, with Inspire Courage. Yes, Burn it! rapidly outpaces other bonuses, but the basis is there. \$\endgroup\$ Sep 2, 2021 at 16:06

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There is no reason these don't stack

Burn It! works on spells that deal fire damage and Wildfire is a spell that deals fire damage. Thus, the Wildfire spell gains a bonus to its damage, which happens each time somebody enters a Wildfire square. Thus, they take more than 1 damage for each square.

Supporting that increasing the per-square damage is even possible is the Heightened effect of Wildfire itself:

Heightened (+2) Increase the damage and persistent damage by 1.

"The damage" is the per-square damage so when Burn It! similarly increases the damage, it is increasing this per-square damage.

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    \$\begingroup\$ Burn It! also increases the persistent damage ("You also gain a +1 status bonus to any persistent fire damage you deal."), so this is a very good combo. \$\endgroup\$
    – ESCE
    Sep 2, 2021 at 15:52
  • \$\begingroup\$ @ESCE Yeah I'm actually unsure why it mentions that, do damage increasing effects not impact persistent damage? Is the persistent damage not also "fire damage from a spell"? Maybe it's just reiterating \$\endgroup\$ Sep 2, 2021 at 16:44
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    \$\begingroup\$ Well, notably, Burn It! doesn't mention that the +1 bonus to persistent damage increases with level ("You also..."), so I'm fairly sure that somewhere bonuses like this one (and Dangerous Sorcery) are not supposed to apply to persistent damage. See this question: rpg.stackexchange.com/questions/179874/… (specifically, the distinction between persistent damage and its originating effect) \$\endgroup\$
    – ESCE
    Sep 2, 2021 at 20:25

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