I use a large syringe to suck out any liquid for reuse. Any large lumps are picked out and I leave the rest. The only bits I’d ever pick off are dried bits on the bead which might stop the tyre sealing well next time.
Disagree with D8monk about gravel use, I think it’s well worth it. Without running thick tubes, I’m sure I’d snakebite puncture all the time on gravel rides, but then I suppose it’s also down to how you use the bike. Road bike currently set up tubeless but I think next set of tyres I might change to TPU tubes. I’ve only punctured once with current set up but it wouldn’t seal and at road pressures the emergency plug just blew out. Was only half a mile from and walked home. Fixed it with an internal patch and it’s been fine, but out in the wilds it’d have been a messy repair.