Schematic of the recycling and pileup geometry inside the collisionless region. The flow is hydrodynamic near r_B and becomes collisionless below r_coll. Most particles miss the GR loss cone on a single inward pass, return to r_coll, rethermalize, and either are recaptured or circularize after losing orbital energy to bremsstrahlung. Direct GR capture (loss cone) accounts for ∼0.2% of entrants; ∼33% are reflected at the centrifugal barrier, and ∼67% enter the recycling + circularization population.