Since blue origin is still developing their new glenn rocket with only a single launch so far what is the chance they use falcon heavy to deliver their blue moon lander
Starship is more flight ready then SLS and new Glenn. It's just not fully reusable yet, so it's not ready by Spacex standards but far ahead of anyone else in the world. They could also use falcon heavy but might as well use Starship, unless they need dragon.
There is no way to use falcon heavy to launch the blue moon lander without a custom payload adapter that would take as much time as building a third New Glenn booster, so the chances are exactly 0%.