So question here: as each of these features comes from a separate source: Race, Fighting style and feat respectively would they stack? i.e. if you took a tabaxi with unarmed combat fighting style and then added tavern brawler as a feat would you get 1d8+1d6+1d4+STR per attack? or does that not work?
So question here: as each of these features comes from a separate source: Race, Fighting style and feat respectively would they stack? i.e. if you took a tabaxi with unarmed combat fighting style and then added tavern brawler as a feat would you get 1d8+1d6+1d4+STR per attack? or does that not work?
All three features are alternate attack calculations and do not stack.
What memnosyn said. They are each a "[this] damage instead" effect, not dealing additional damage.
I think at most you can mix the damage die from the fighting style and the damage type of claws for 1d8 slashing. But YMMV.