Too much cloud security backfire in your story. Reading your story really gives me a headache, I mean your are in loop security for all your account and you will be in trouble in case one them is not functional because your password recovery is connected to other cloud account. This thread makes me think to check again all my backup that store on my Google drive if they are safe. LOL
Point noted on your case. Thanks for the early warning.
I believe you will solve it fast if you root your phone and used an app to remove/reset finger print pattern. Just unroot your phone and reset it once you access your Google. It will save you a lot of time and hassle.