I decided to turn my bit explaining how to use Poltergust into text again, in case people find them hard to read
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PG is a little funny, because she's powerful, but that only really shines if a) you team her up with Surgeon General or b) you throw her against someone that has a lot of buffs that expire. Case b) makes her really strong against the armor node in Rift Battles, and a number of the more annoying defense characters
I personally have her loaded out with her outtake move, Daisy Pusher, Drag 'N Drop, Inferno of Leviathan and Rage of the Dragon.
Inferno is sort of an odd choice, because it applies wither, and your want to keep enemies blockbusters full to get that bonus damage, but I like using it after Drag 'N Drop, because it's good at finishing off enemies.
The occasional wither is at least useful to keep their BB3 from filling up. You could also replace it with Battle Opera, for similar effects.
The other three blockbusters all have their own nitch. Rage is good for it's curse and damage, Drag 'N Drop is especially good for damage, but harder to get in sometimes. Daisy Pusher is great for finishing people, and generally being unblockable.
I guess I'd say my playstyle with her is mostly just doing basic combos with her till her blockbusters fill up, and then using them. The only real difficulty comes with getting all your blockbusters used before they fill up again, and trying to prioritize which ones to use before the refill happens.
If both you and the enemy has a Surgeon General, you'll often have +100% to all your blockbuster's meter every 30 seconds, and that's not even the fastest PG can refill blockbusters, so you need to plan ahead a bit when to use them so you don't miss the chance to use Rage of the Dragon twice in a row or something.
The most important strategy with her often happens outside of battle though. You have to pick when to use her, because her real power comes from expiring buffs constantly refilling her meter more than the bonus blockbuster damage. I have totally gotten creamed using her when I forget this.