I'm sure anyone in any career can ask the same questions. I believe you do have a say. Does that mean you always get what you want or what you put 'out there?' No. But I do believe in that putting it 'out there' or whatever you care to call it can create opportunities. There's something to be said about saying what you want or writing it down - it makes you focus, it steers you to a clear yes or no, it points out chances more clearly.
A couple years ago I felt my resume was lacking in musical experience, so I said that I wanted to work more musicals; I didn't say it to anyone in particular that could help me, but I did say it and think it. Due to circumstances beyond my control, I've managed to work all mainstage musicals this year - five in a row - when under normal circumstances the assignments are more varied. I got what I asked for, but I'm ready to ask for the next thing

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From mumbo jumbo to practicalities - you seem to know where you want to go next and who to reach out to for what you want. I suppose the next step is deciding how much to devote to what you want versus still maintaining what you already know. It sounds like you're taking the needed steps to shake things up. But it does sound like you need to enjoy yourself more - maybe not look so far ahead that you can't enjoy the trip you're on? Dare I say enjoy
some lack of control?
I know a few people would hear that you're dissatisfied with your work and think, "If's HE'S not content with HIS career...!"