@Lada11 It is completely within your power to decide whether the guest gets to enter your house, and under what conditions. The guest is not yet in your property, so this has not yet escalated to an "urgent" situation that would require the intervention of whatever rando Airbnb has outsourced customer service to (and trust me, they usually make matters worse)
As I already said above, your options are either to take responsibility for your own mistake and accept the penalties, or to take control of the situation and tell your guest what information you will need directly from them in order to complete the registration and check-in. It should be abundantly clear that guests can only enter the home when this step is completed to your satisfaction. The guest has already volunteered to present ID upon arrival, and there's no reason that you can't amend the check-in instructions that you've sent in order to accommodate that. In the worst case scenario, the guest reports denial of access as a Travel Issue and is granted a cancellation with full refund - same outcome as if customer service cancelled the booking for you.
Airbnb's "verified ID" is a joke, and anything in a completed profile can still be fake, so this is a red herring - Airbnb's verifications are a false sense of security and no substitute for your own precautions. Never forget, it's your home and your business - Airbnb is no more than a tool you use to list it, and those who expect more will be forever disappointed.