At the beginning of your combat phase, Duke Ulder triggers, giving a Bloodthirster haste and myriad until end of turn.
Declare the Bloodthirster targeted in step 1 as an attacker.
The Bloodthirster's myriad ability triggers, creating a token copy of it tapped and attacking each other opponent.
Deal combat damage to an opponent using a Bloodthirster token, triggering the token, untapping it and causing you to get an additional combat phase after this one.
Move to your next combat phase. You will not exile the Bloodthirster tokens due to The Master.