@vostie
Yes, I had begun my application online, despite living about 20 miles away from Scripps, and then saw the requirement for proof of LC. It's taken three days, but finally received that from my PCP.
I'm reconsidering whether I want to participate, though, because, as a placebo-controlled study, sensibly enough of course, there's a 50% chance I might not be on any drug for a year. I might have a good chance of convincing my medical team to just prescribe it for me.
In the meantime, though, I have started taking Metformin which, while not classed as a GLP-1 drug, does have some similar properties (plus my wife, for whom it was prescribed, somehow has a ton of excess pills. Shhh! Don't tell anybody!)
Both Metformin and these other drugs do seem to exhibit significant anti-inflammatory properties, and it seems as though more benefits from their use is increasingly being uncovered (possible postponement of dementia, for example!).
Some studies have shown that people on Metformin, specifically, who caught Covid-19 were less likely to go on to develop LC. I'm unsure of the extent it is actually being used as a treatment for LC, though, and need some further research.
Come to think of it, there are a few quite active groups similar to this one on Facebook, so, despite my general aversion ot social media, I may just venture on there to see if people have tried it, and will report back.

@vostie thank you for sharing this!