I closed the door. As it clicked shut, I remembered that the driver-side door handle no longer worked--and the windows were closed. The passenger-side door handle wasn't much better but, luckily for me, it opened with a little persuading. This was a need-to-fix-in-a-hurry situation, or someone would get locked out without actually locking the doors!
A call to Trim Parts for new chrome handles, and another to Corvette Clinic for installation, and these doors would be working like they just came off the assembly line.