As of May 21, no Texas Government entity at the State, County, or Local/City Level may issue a mask mandate or requirement. Violating entities are subject to a $1,000 fine per occurrence. As of June 4th, no Public School may require masks for students, teachers, staff, or visitors.
Source: GA-36 EO from Texas Website
Archive -> https://archive.is/3oyR6
I'm wary of EOs coming from Red governors, precisely because -- as has already been mentioned and as we saw with Trump's EOs -- they're a pen stroke away from being tossed out.
Wheels also needs to tell business to stuff it; especially the one I work for, since having a mask mandate on property is beyond retarded by this point.