Without a real sill and a slope on the outside your going to have water intrusion. Add a gutter/diverter above the door on the roof. Remove all the sealer you can. Use waterproof concrete sealer/paint on the slab. Fill every gap you can with silicone. Shave down the slab with an angle grinder to add some kind of slope.
If the concrete applier ‘forgot’ to add a slope to the outside see if they will help with the remedy.
It’s not ironic. These actions are exactly why they got the job of clerk in the first place. They are responsible for holding up the appearance of propriety so people have faith in the rule of law. The whole court should be holding him to some kind of account.