A/C blowing hot air part time. on 1992 Chevrolet Corvette

I removed the dash and a/c duct to remove a dead mouse when I finished with reassembly the a/c cycles hot air every 30 seconds.

There is a company that independent auto repair shops "buy" their information from that offer a very reasonable service to do it yourselvers. You get a one year subscription to year make and model specific repair procedures, service bulletins, component locations, wiring diagrams ect.... great quality information same as the professionals have ,much better than generic workshop manuals from parts stores, much cheaper than the factory manual.
If you do work on your Corvette you will like the Alldata information
2 more answers
you should re-install mouse
Corvettes are very complex. I have removed the dash on a few of them and it is very easy not to get all the lines and wires re-connected exactly right or to accidentally pinch something. I would re-trace all my steps. You may have to do the job over. Ii have had to on occasion. It is best to 'test as you go' meaning as you re-assemble a dash, test all the functions before you cover up the actuators, vacuum lines and wires etc. Good Luck!