In Crane Stance you can only use Crane Wing:
but the only Strikes you can make are crane wing attacks. These deal 1d6 bludgeoning damage; are in the brawling group; and have the agile, finesse, nonlethal, and unarmed traits.
You make an incredibly graceful attack, piercing your foe's defenses. Make a Strike with a weapon or unarmed attack that would apply your precise strike damage, with the following failure effect.
Crane Wing has both Agile and Finesse, so it qualifies.
The question is, are Crane Wings attacks basically a type of Strike (which prevents Finishers) or a type of weapon (which would allow it)?
(you can get Crane Stance on a Swashbuckler with a Dedication + a feat)
Best Answer
Crane wing attacks are agile unarmed Strikes and work with Confident Finisher
It says so right in the quote you give:
This makes it clear that the crane wing attack is a usually a Strike (and of course an attack).
Strikes are not weapons. They are attacks (have the Attack trait). They can be weapon attacks when you attack with a weapon, but they also can be unarmed attacks if your are not using one. Their text says:
Here, you are holding your arms in an imitation of a crane’s wings and using flowing, defensive motions, so you make unarmed attacks with your arms. Unarmed attacks do not count as weapons:
However, none of this stops you from using Confident Finisher with your strike. It allows you to use an unarmed attack (see your quote), and the precise strike feature likewise works with unarmed attacks:
and the Crane Wing attack is an agile unarmed attack. I see nothing in the rules on precise strike, finishers or on panache that would require you to attack with a weapon.