The US doesn't lay claim to the Pacific Ocean, and it has a right to transit its navy in open waters. It does not make a habit of navigating its navy into other nation's waters without their permission.
The US does not claim ownership over any part of the Gulf of Mexico that it doesn't blatantly have a right to, as this image makes very clear:
The US does not claim ownership over any part of the Gulf of Mexico that it doesn't blatantly have a right to, as this image makes very clear:
https://upload.wikimedia.org/wikipedia/commons/thumb/9/91/Te...
The southern tip of Texas across to the southern tip of Florida is extremely reasonable as a water claim.