Hi, @Alex7630,
Welcome to the community!
Is your title ‘third party’ booking?
No, Airbnb does NOT allow third-party bookings. They require the person who made the booking to be the person staying at the property. Hosts must be aware that Airbnb's insurance policy does not cover third-party bookings.
I believe that the host will contact Airbnb and cancel the booking immediately if you mention a third-party booking.
Did your friend present every one name and id verify to the host?
If your friend did, that proves you are one of the guests who’s joined the group. Yet, if your friend fails to fill up all the names, I affair the host will not let you check in until the registered guest arrives.
That means it's no way for you to contact the host and access the booking information.
The host only replies to the registered guest.
Can I book on behalf of a friend or family member?
https://www.airbnb.com/help/article/427/can-i-book-on-behalf-of-a-friend-or-family-member
Unless your friend has a business account, all others are violating Airbnb terms and policy.
Do contact your friend to resolve the issue, and I hope your friend does not make the booking on your behalf.