Grok: any difference between guest and free tier limits?

Is there any difference in the usage limit of Grok between the free tier with an account, and just guest mode? Context: Just had the Grok update rolled out and was playing with it. I hit the allowed limit, which surprised me. I don't have any Grok account so was using as guest. Am wondering if having a a free tier account would increase the interactions. (Am also a bit surprised there's a limit for the car version).