There are really an infinite number of ways to vary your process.
Process affects your finished product, no doubt.
Holding process constant, try adding more oil, say 3% or 4%, maybe even 5% to see a bigger change.
Fat usually softens things up for me.
You may find you want to dial back hydration as you increase oil, but you may be fine.
As a separate experiment, try less hydration.
Maybe go wild one time with 58% hydration.
Another thing to try is different flour.
I find different flour definitely affects the finished product and each flour asks for its own level hydration.
What I mean by that is, the dough feel you’re used to will require a different hydration level when switching flours.
You’re going to have to keep making and eating pizza untill you get it right!