In the case of FL & TX gulf waters it appears that state jurisdiction extends 9 nautical miles, other states 3 NM. US jurisdiction 12 or 24 NM, with "economic jurisdiction (i.e. OIL) 200 NM or until you run into another nation's jurisdiction.
From NOAA
State Seaward Boundaries in the United States:
(0 to 3 Nautical Miles; 0 to 9 Nautical Miles for Texas,
Florida’s Gulf Coast, and Puerto Rico)