I can't log in ;-;

I've been trying to log in to the Riot client for the first time for about half an hour now, and it just won't let me. I made my account with Google, so I don't think I can log in with a user and password, and whenever I try logging in with Google it either says "Try again later" or it says it successfully logged me in, redirects me to the Riot client, and does nothing. Do I need to have Vanguard fully installed to log in?
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