Hey there,
It sounds like you're encountering a pretty specific issue with Minecraft Forge, particularly with the Yggdrasil authentication server. This can be a bit of a headache, but there are a few things you could try to fix this. First, it's worth checking your firewall and antivirus settings. Sometimes, these can interfere with your connection to Minecraft's servers. You might want to ensure that both Minecraft and Forge are on the allowed list.
Another thing you could try is resetting your internet connection. Even though everything else seems to be working fine, a simple reboot of your router might do the trick. It's one of those 'turn it off and on again' solutions, but surprisingly, it often works.
Lastly, it could be an issue with your Forge installation. Maybe there's a corrupted file causing problems. Reinstalling Forge for version 1.20.1 might help iron out any kinks. It's a bit of a process, but it's worth a shot.
I hope one of these solutions helps you out. It's frustrating when you run into these kinds of issues, but with a bit of troubleshooting, you should be able to get back to your game.
Good luck!