How do I cross from a product marketing IC to manager?
It sounds like you're mastering your craft in PMM with multiple promotions & raises (congrats!), so I'll focus my answer on building your leadership muscle to help your leadership team view you as a candidate for people management.
Career Conversations: Set up dedicated time with your manager (separate from recurring 1:1s) to talk about your aspirations & ask what's needed to get there. This transparency in your career goals empowers your manager to share feedback to help you get to the next level, either at your company or elsewhere.
Mentorship: Start building managerial muscles by mentoring more junior PMMs and seeking projects to informally manage them (with their manager's blessing, of course). Even if you don't have the org structure, this gives you examples to speak to in interviews on your people management skills.
Networking: Expand your network through industry and leadership events to build new skills you can test drive in your current role and meet PMM leaders who will help mentor and champion your career.
I made the jump from PMM IC to people manager almost 6 years ago and am continuing to leverage the above strategies to both expand my leadership skills & my team's professional development - so it's an ongoing journey! Hope this is helpful & wishing you luck in this next career chapter.