I'm a happy man with my newly-tuned TQ!

Uh oh, I guess I spoke too soon. Although the car does run quite well when it starts, and it starts OK when cold and when re-started immediately after it is shut down, it has a no-start problem if it sits for 30 minutes or more after having warmed up. I'm not sure this is being caused by the carburetor, though, because the battery seems weak and I'm going to replace it. In the meantime, however, I would appreciate any suggestions about what can make a TQ carb not start after sitting for awhile. It might be the choke adjustment (?), which would be my fault, not the carb tuner's. (It is a new carb, so I doubt that the main well O-rings are bad, but I guess anything's possible.)