How does the cinderclaw gauntlet work with a monk?

In Paizo’s Age of Ashes: Hellknight Hill, there’s a magical incendiary gauntlet called the cinderclaw gauntlet. If one of my players wants to equip this gauntlet on his monk, how does this gauntlet work with monk stances, monk unarmed attacks, and the Rain of Embers fire stance?

Cinderclaw gauntlet: