Complete occupation cutoffs

This is the flagged regulator interface used in Hawk01-A and En02-E CheungHawkA,CheungEn02E. Its quantum square-root allowance is not replaced by a classical tail identity unless commutation is established. Occupation bounds also do not certify discarded angular or frequency sectors.

In the explicit finite construction, key, transfer, and endpoint radiation contain at most three particles in total. Its stated finite occupation regulator is therefore exact once $L\ge 3$. The required degeneracies and endpoint energies, rather than an unbounded occupation tail, carry its finite-dimensional resource cost.