I think it looks suspicious because of the wording. A A MEMBERSHIP
I would expect to see only “The AA” or perhaps ”AA.COM”
A bank statement should only show the company that is being paid and not the item purchased, in this instance it is showing membership.
I’m not a member of the AA so I cannot check but if other readers of this thread are AA members perhaps they could have a look on their statements and check how the debit charge is worded.