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
For some reason I thought that was already part of the orders.
There are bills in house and senate regarding masks, hopefully they pass. It's a pretty right wing legislature.