Wesley recently lost access to his Gmail. He tried doing password recovery, expecting 2-factor authentication. But Gmail says they can't be sure it's him, so he remains locked out. At least he can log in with his phone because Gmail trusts Wesley's iPhone, which knows the password. Leo isn't sure why the recovery hasn't worked. Perhaps his challenge questions are being answered incorrectly? Since Wesley's phone is working better with Gmail, he should try recovering the password with the phone.
Here's also a technote from Google that can help.