Pinkerton’s BBQ wait times

Hi all, it’s my last night in Houston and I’m flying back to the UK tomorrow evening. I have late check out in my downtown hotel, but would love one last Texas BBQ before I leave. Is Pinkerton’s as busy as some of the ones in Austin I visited where you have to arrive before opening to get a chance to be served or is it more relaxed and if I get there for 1:30pm I still get some brisket? Assuming Tuesday isn’t their peak day, but wanted to check with the locals.

If you have any better / other BBQ recommendations please let me know about them as well.