Is a commission due to a person who was appointed to search for a travel booking if the booking was provided but is no longer needed?

The broker is entitled to his full commission after completing the agreed-upon work, because by doing so, the contract becomes firm, and he becomes entitled to what was stipulated for him. Therefore, if he provided the requested booking, he is entitled to his agreed-upon commission, and his right to receive the commission is not forfeited due to your unwillingness to travel.