The Texas Election Code does not state explicitly that one person cannot run for more than one office in the same election—or, at least, I have not found such language. However, no one person may serve in two elected offices in the event of winning both races. Hypothetically, if gruene could be elected to both positions in the event of a sudden Green Wave, she should not take a chance on a dual victory.
Possibly Moot Point
This is the paragraph where we remind readers that gruene is not officially on the ballot for either position, despite being nominated for both. She did not pay the new HB 2504 filing fees to run, nor did she submit petition signatures in lieu of the fees. The fee provision for candidates irrespective of party is in legal limbo, pending the lawsuits filed in hopes of overturning it.