I would suggest considering completing the licensing before moving. I have seen just way too many times when people jumped the line in similar ways and it ended up biting them in the rear eventually.

You may end up wanting to return in a couple of decades. Or it could streamline something if you move again to another country. Or you could end up being needed while traveling. Or being offered a position that needs that license for some online work without ever moving back. You could have a death or illness in the family that forces you to return. Or any of a million other reasons that you would want that, and not getting it now could mean eliminating options in the future. I knew a guy who’s wife was a doctor in another Mexico for years before immigrating to the US, and she had to start over from scratch. Just something to consider.