This is the most important part, for sure. The theory needs to get into your body.
I'd also suggest to the OP to find a teacher that specializes in jazz, because the practice of improvisation requires you to embody that theory. A good teacher that focuses on improvisation will help you navigate through all the different building blocks you need, which happens to be theory.
I studied your typical classical piano as a kid, abandoned it in college, and later in life came back to it with a jazz improvisation teacher. It's amazing how little you actually learn about music when all you're doing is reading sheet music as a kid. Now when I go back to play, say, Bach, I can see so many other things going on since I've spent so much time hearing and feeling the improv theory.
There's also a great YouTube channel I've been watching, based around the teaching theory of Barry Harris: https://www.youtube.com/@thingsivelearnedfrombarryh2616