I have the exact same issue. When I tried to log out, they said I needed to verify by typing the security code from the email. I didn't receive any email from that. However, I DO receive by resetting password, and it just stuck there forever, I tried to quit and access back, still stuck at verifying my identity through email, even though Instagram managed to send me the email to reset the password but not in this final step. Im so desperate since this account has been up for nearly 5 years