The problem is air is lighter than brake fluid, so the bleeder needs to be at the highest point in the circuit to allow evacuation. It won’t matter whether you shoot air into the bleeder or the reservoir - the air will still be trapped.
That’s why you can never reverse caliper son a car. They usually fit both sides, but are mirrored so the bleeders are always at the top.
The only solution I see is to bleed the caliper off it’s mount, or raise the bikes front end until the bleeders are it the highest point in the hydraulic circuit.