I would have to think that realistically, baseball is where Texas can be immediately in the mix. It seems baseball can spin on a year's notice anyway, and Texas already has a good team. But, as said above, almost all of the teams in the SEC can brag on baseball teams. It is the best of the best.
Basketball may show success early as quick turnaround teams with portal, etc. Beard is a good coach, but SEC is underrated most years. The Big12-SEC challenge should show it is solid without the fanfare other leagues get. We have been seen as an "athletic" league. But look at Kentucky on most years, Arkansas (who beat Beard in the tourney this year), LSU with their talent, Alabama if they can sustain what they did this year, Florida usually, and a few others, it is not necessarily a given for Texas to come in an be great immediately.
Football. I believe Texas will be ok, at least eventually, but will need to shore up recruiting on offensive and defensive lines. However, you hired a coach who has seen what the program needs to be built for sec success. Just depends on if he can do what he knows needs to be done.