According to AA . the bereavement fares are off full fare. The fare you list may be a one-way fare that is a discounted fare. The Y one way fare is $2264 .. tho with the bereavement factor may be close to the amount you mentioned.

You MAY need the funeral home phone number for AA to verify.

Per this Google search you have to contact AA for the fare and booking.

Very sorry to hear of your loss. When I needed AA's help in a similar situation they were VERY supportive and things were waived and adjusted as I needed.