Google apparently can't help you if your Gmail account gets locked, but there is a workaround
If you’ve ever been locked out of your personal Gmail account then you will no doubt have discovered it can be a serious uphill battle to regain access. If you forget the password, then you can try the 'forgot password' option, but if you’ve been locked out for other reasons, then you’re in trouble.
As reported by PCMag, Game publisher Mike Rose was recently locked out of his account for 'suspicious activity', and when he contacted Google support he was told there was nothing they could do for him.