The user is not redirected back to AMO after reset password

[ioanarusiczki]

I could reproduce this from AMO dev - fxa stage and AMO stage - fxa prod as follows:

1. Login from addons.allizom.org
2. Click on forgot password and begin reset
3. After getting the email and resetting go back in the tab where you begin the reset and try to login

Expected result:
I'll be redirected to AMO

Actual result:
I'm landing on the fxA page (there's no autenticate-callback in the network)

I could reproduce this with a new account (without 2fa) but also with an account with 2fa enabled.
I'll attach a gif (it's a bit longer since I tried to catch the entire process)

┆Issue is synchronized with this Jira Task

[ioanarusiczki]

This is still reproducible with AMO stage.
When resetting the page displayed is the one below. To login to AMO it requires a new tab.