Regularity and finite spectral support

The admissible maps of Step 25 must also be regular in a finite, inspectable sense. Within the τ-holomorphic category, regularity is the positive finite-stabilization condition: at p, the ω-germ/evolution sequence stabilizes at some finite primorial depth N. Equivalently, the B- and C-channel regularity conditions both stabilize, so the canonical idempotent-supported extension exists. Regularity is therefore not imposed as an external analytic smoothness condition; it is finite stabilization of the earned boundary/evolution grammar.