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I say just do your full stack program really well and stay in that track for a bit. You'll have plenty of time to learn other things after. Coding is a never ending journey!

Definitely don’t overwhelm yourself. Your effort isn’t going to be useful unless you build good software engineering chops/fundamentals. ML isn’t widely used enough to make or break your career.

I imagine it would be pretty hard. If you take it slow and learn the details as you go though I don't see why not.