i forgot to include everyone on the previous answer. CHL will get you a free pass around the metal detectors. You are free to carry in the capitol.
A little info but not from a state source. This info has been in the public while the rules were being set up.
...State employees can walk around the checkpoint if they show a valid state ID, as can Texans who carry a concealed pistol with a permit.
It’s perhaps the only public building in the country where pistol-packing average Joes can walk through security undeterred.
The express lane for gun owners is clearly marked: “CHL Holders.”....
Officials have justified their decision this way: CHL permit holders are required to undergo training and pass a background check, steps that will weed out potential nuts and terrorists....
end snips