Being good at learning new skills quickly matters more than which skills you know now. (Unfortunately it's hard to demonstrate in an interview and everyone says they are good at learning.)
However, if you focus on this, and just learn whatever specific technologies are convenient for you, then you could later spend only a short time (perhaps a week or two) learning specific skills targeted to a startup you want to apply at.
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Being good at learning new skills quickly matters more than which skills you know now. (Unfortunately it's hard to demonstrate in an interview and everyone says they are good at learning.)
However, if you focus on this, and just learn whatever specific technologies are convenient for you, then you could later spend only a short time (perhaps a week or two) learning specific skills targeted to a startup you want to apply at.