If play continues after your turn, the next player, being empty handed, will be forced to end the round.
Here is the only guaranteed win:

1. Use Sanction to draw Last Laugh.
2. Play Last Laugh into your keep. Your turn is over and the left player is forced to end the round, triggering Last Laugh.
3. Play Hocus Pocus to turn one action into two.
4. Play Resurrection to retrieve Providence from the discard.
5. Use Providence to swap Sanction and Purity.
Now you are at 10 coins, but the round is over! Note that giving the left player Sanction too early would let the round continue.