Thanks for coming to the Spotify Community. I'd recommend double checking your junk/spam or other filtered email folders for a password reset email. If you're not getting an email, you might have to wait a bit before trying a new password reset, since the system might block multiple requests.
If that doesn't do the trick, I'd recommend trying this process using another network connection or mobile data. You can find more help with this in this Support article too.
Let me know how this goes!
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Note: I'm not a Spotify employee.