Looking at the Network tab is a pretty obvious one. I'm not logged in to any account and I block stuff like Google Analytics at the DNS level so I'm not sure what of value they could log. It's not like I'm seeking out nation-state-whistleblower level of privacy/anonymity here, haha

Honestly if you're that concerned, download the invidious codebase and host a local copy yourself. It's open source and free to use by anyone.