To bear in mind....
Thursday, 11/26 is the date of the traditonal Texas/Texas A&M football game (in College Station this year), a 7PM(CST) TV kickoff. With a chunk of the upscale dining out populace in front of their TVs (or have driven over to see the game), the restaurant scene ought to be comfortable and uncrowded. Suggesting a restaurant will much depend on your hotel (location), your transportation choices, and some ideas of expectations....
Most places will likely be open, and there are few if any likely to be closed down by 7. It will likely be too late for the fancy hotel Thanksgiving buffets, the choice of traditionalists who don't want to cook or clean the kitchen, but every known class/category of Mexican food from family style to regional to upscale will be available, and certainly some will suggest BBQ, with the drive out to dripping Springs to the County Line asa sort of "landmark" approach.
"Starwood Lurker", available by on FT by private message, is associated with that hotel chain in a marketing capacity, knows Austin well and may have suggestions, while I, 100 miles and 50 years removed except for football and working visits, tend to stick to old standbys.
In other words: "What are you looking for, and how much effort are you willing to put out to get to it?"