Temporary Solution to Client Bugsplats
This is a temporary solution if you're having the bugsplat issue when trying to login at client (after restarting PC, reinstalling game with still no solution to the issue) is to use a VPN unfortunately to bypass their login authentication and then once you're in the client, disable the VPN to use your IP address again and everything will work fine.
This is a temporary solution that worked for me, and I will keep using until riot fixes it but from what it looks on my end, the IP address when trying to login is the issue for the bugsplats but this is not absolute certain