Has anyone figured out how to resolve Private Relay causing pages not to load?

Hello, Iʻve subscribed to iCloud+ since December and since then Private Relay works on and off. I usually have it enabled, but then all of a sudden, pages donʻt load and the progress bar in Safari is stuck... not just slow, but stuck. So... I disable Private Relay and then all is good in terms of loading, but then I donʻt have the benefit of Private Relay. Also, whenever this happens, I first go to Firefox and can load the same page, no problem. Therefore itʻs not my ISP or router causing the problem.

I have Monterey 12.6.5, Mac Studio, Safari 16.4.1.

I never had a VPN or website filtering software.

Does anyone know whether there is a remedy? Iʻve seen other threads with recommendations to reboot, but that it doesnʻt seem to be the solution.

Thanks.