After 4 trips to the dealer, here's where I'm at. The actuators are still clicking, but the plastic bit that actually traps and opens is broken. I can still open if I push in on the tailgate while pushing the actuator button.
This time, when they brought the truck out there was a rattling sound. Dealer said that was the broken plastic piece that had dropped into the tailgate and they can't get it out without taking the tailgate off. They also said they can't get replacement parts (I'm sure because of some Covid supply chain issue). This has all been going on since it was in warranty, but now they're pulling the its not in warranty card since they didn't determine the issue until it is out of warranty... They also told me there is a service bulletin forthcoming, for whatever that's worth for everyone.
Unfortunately, the dealer sucks and it looks like I'm going to have to pay to get it fixed. I'll keep fighting, but will keep updated if it ever gets fixed.