Background check delay

Hey all, so I am a green card holder and recently obtained my LTC in Texas as well. Today I went to Academy to buy my first firearm. Unfortunately the clerk accidentally selected the option to run a background check and that caused a delay as I am not a US citizen. Since the delay can take a few days, would it be wise to go to another gun shop and make a purchase there instead? Or should I just wait for the background check to clear