Modern armed forces in the Third Crusade

How could modern British armed forces help the Third Crusade?

They would be militarily overwhelming if supplied, with logistics, water transport, communications, and medical recovery amplifying their technological advantage.

Modern armor, radios, transport, medical support, and weapons would give a force from today an overwhelming margin over medieval opponents. Water transport and casualty recovery would matter as much as firepower because a force that can keep moving, communicate, and return wounded people to service changes the campaign. A Land Rover with a machine gun might provide more repeatable value than a glamorous heavy platform because it is mobile and comparatively simple to employ. The scenario ultimately turns on sustaining modern equipment and ammunition after the initial technological shock.