A long time ago my very kind US flight academy flight instructor was collecting hours to later join a certain US major airline. He needed an aviation related university degree, which he had, and many letters of recommendation by senior airline people to make it possible. I think he even knew the chief pilot and still had to wait years and all those hours to be considered. Another US pilot friend and stuck on ATRs pilot went halfway around the globe to join a certain AF reserve unit to get Galaxy and multi engine hours first to be considered for any airline jet job later.
I would agree, be aware of what choices you have and continue on your route before considering the full move to the US shark tank.