Hi! Fellow customer here. It's probably too late for this thread and you already figured this issue out, but I will mention it here in case somebody is also running into a similar problem: I had an issue just like this switching my account ID from one email to another, and I had access to both emails. I contacted support, and it turns out - this (not very accurate) error message about wrong code was popping up because the email I was switching to was also set as my "recovery email" on the account - so if you remove that second email from your account as recovery email, it'll work. It worked for me. You can then set your original email as recovery once the switch is successful.
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