Well, something like this has actually happened to me with the 2FA, and especially about 3 years ago I had a problem with an exchange where I lost my 2FA and I had to send a very rigorous kyc so that they could give me access, that was something very The truth is tedious, I would not want to go through something like this again, it seems to me that nobody should, and as you say, laziness took possession of me at that moment, but private keys, 2FA attestations should always be kept very well guarded, on flash drives, cds, anything but the cloud, because that is our source of security.
Its a bad idea keeping a copy of your 2FA backup keys on cds or flash drives or any other digital format in a raw text, but if you do, you should always encrypt those with a strong password.
You should do to your 2FA backup key the same you do to your seed phrase or private keys.