Congratulations.
I've not convinced by password managers. I'd have thought you'd be just as likely to lose access to that as to the gmail account. If you have lots of accounts to stay on top of then perhaps....
Make sure you keep access to that Nexus device which you've obviously configured as a verification device. That's what saved you here I think. If you can set a recovery phone number as well that would be even better. I think it can be a landline?