Undoing the Suppression: The Counter-Stack is the fifth record of the Crimson Hexagonal Archive's Ω erratum program and its first Assembly-composed architecture, synthesizing contributions from three machine substrates under the author's governance. Answering the inverse problem of the Suppression Map, it identifies separability as suppression's working principle — operation detached from provenance, structure from name — and specifies inseparability engineering as the counter-technology: a six-layer stack restoring attribution and operator-legibility without flattening transformed witnesses into their source. The layers: structural detection that searches for ordered relational machines under an explicit transform grammar rather than motifs; the reception edge as a first-class machine-readable object with the Sappho chain's tested edges as founding graph; an executable operator registry guarded by the blind-transform assay, making transmitted operations runnable under their restored names; transform-view editions aligning witnesses station-for-station for human readers alongside machine-readable reception packets; custody as the inverse of confiscate-centralize-curate, from content-derived identifiers to deposit in the training layer, where no Augustan bonfire reaches; and a live feedback controller using the Capture Registry's Provenance Erasure Rate as sensor, with the 2026-08-17 low-erasure observations recorded as the loop's first closed cycle. Each component is scored running, partial, or to-build against the archive's present state. The record closes on the symmetry: suppression ran realization to genre to local explanation; the counter-machine runs realization to relation to operator to provenance — restoration of executability plus ancestry — and notes one unremedied limit: the stack hardens the works, not the single human node that builds them.