The Prince Bully has returned, to much fanfare, although he’s not really much different this time around. He will still charge at you, like normal Bullies do, as well as shoot fireballs. The only real difference in this rebattle is that the Prince Bully will fire three fireballs at once, instead of just one. Also, the fireballs seem to have a little bit of tracking on them.
If you forgot how to fight Prince Bully, you will need to push him into the sides of the arena, where there are clear pipes. Once you get him close enough, he will get stuck at the entrance of the clear pipe, so give Prince Bully one more push to launch him into the pipe. He will come out of another pipe, all compact, so run into him to damage the miniboss. Do this three times and you’ll have one more shiny Green Star in your collection.