Does It Work? Prized Pain Unique + Projectiles Created From Staggering Palm

I don’t have a copy of the ring yet so I can’t test it, but I’m curious to know how the game would handle the interaction. Staggering Palm is a melee attack that provides a buff if it heavy stuns an enemy. The buff makes all quarterstaff/unarmed attacks fire projectiles. The projectiles themselves will add stacks/renew the duration of this buff if they cause a stun (just retested this, nvm I was looking at the wrong buff refreshing). I want to know if the projectiles created from my melee attacks trigger the bonus Thorns damage on stun while wearing the ring Prized Pain. The unique reads:

Deal your Thorns Damage to Enemies you Stun with Melee Attacks

PoE2’s Melee keyword says:

Melee Attacks are those that directly hit with a melee Strike or a Slam, dealing Melee damage. Melee attacks usually scale from Weapon or Unarmed damage.

Any Projectiles these attacks create do not count as Melee damage.

Does just the initial Palm connecting proc Prized Pain, or will the projectiles get that bonus thorns damage when they stun targets?