Curious how everyone approaches naming + finding domain? | I will not promote

Like, this happens with every project. Every name I come up with is taken, so I end up asking ChatGPT/Claude/Gemini for a couple hundred more names and trying my luck with those. But again, most of the good ones are taken, so eventually I just settle for something. Half the time it doesn't really match the vibe of the project at all. So I'm curious what you guys do. Do you just go with something random and let the project stand on its own without worrying too much about branding? Do you generate a bunch of