- As you said, it's a multi-platform account, so probably multiple devices in multiple locations will need the password. Meaning you won't have easy access to your password manager. - Popular account, so you'll likely be using it often, probably re-typing or pasting it.
Common sense says that manually typing out a password was a likely scenario.
Switch to a phrase-based password. It'll still be really secure, and you'll be freed from your self-inflicted woes.