Been there, tried that. When starting to write JavaScript in anger 3 or 4 years ago, I started out with JSDoc, because my impression was also, hey, that is like TypeScript, but closer to the metal and maybe with less magic. A few months in I realised that TypeScript is just a better and more well-rounded implementation of what JSDoc has to offer (I don't remember now, but there were annoying things that you would expect would work in JSDoc, but didn't quite).

Just use TypeScript.