I'm in the same boat (except I wasn't "stuck," I was climbing, but I wanted to do something else), and my post articulates logic that I am using myself :) I recently cold-messaged someone in a startup in one of those industries, and they were surprisingly willing to carve out an opportunity for me. He's the person who would be my boss and just needs to get approval from the CEO. Even if that doesn't work out, I've learned the following lesson in various ways over the past few months: just applying to jobs isn't enough if you don't have specific applicable experience. That should be common sense, but somehow I had fooled myself into thinking otherwise before. Career switching is a complete grind. That's why it's so important to join a growing industry, do great work, and hopefully never have to switch again.
I welcome comments from someone who successfully reset their career after at least 5-10 years of working.