Do we know how large is the leased area? I assumed this lease is for staging area and work tent for works on the offshore platforms.
A few comments: Google Maps believes the name of the road is "RL Ostos Rd," although Port of Brownsville documents do simply call it "Ostos Road." Also note Google Maps shows the new SpaceX location to be just outside Brownsville city limits. The map provided by the Port of Brownsville shows the port owning the property. Also, the port refers to the waterway as, "the Brownsville Ship Channel."
The Port Access Road is now nearing completion. Why would SpaceX want to build yet another road along close to the same route (at great expense, and if the Port Access Road is anything to go by, a decade of paperwork to get through)?