Hotel booking receipts

Moving across the country for work, and my hotel costs are reimbursable. That said, I booked a couple nights at a hotel in Coeur de lane Idaho via the Amex portal to try and earn the credit. The hotel wasn’t able to give me a receipt because it was booked via third party.

I have a confirmation email outlining the costs and such… it MAY work, but for simplicity I was wondering if there is a way to receive an itemized bill I can submit to my employer for reimbursement. If not I’ll just eat the loss, not too bad with the credit anyways.