Pre-Page Information Retrieval from the EHSCM Horizon Memory: Sector Charge Conservation and the Direct-Access Channel --- Closure of Gap G6

Gap G6 of the PTRH/TMRB framework called for proof that information encoded in the event-horizon-state computer memory (EHSCM, Paper 11) can be retrieved before the Page time lambda_Page, at which the Hawking radiation entropy equals the residual black-hole entropy. We provide three results at status [V] and one retrieval protocol. (i) Unconditional sector-label retrieval: the sector population distribution {p_n} is an exact conserved charge of the GKSL dynamics (Papers 16, 19) and is recoverable at any time from the instantaneous relative Hawking emission rates Gamma_n(lambda)/gamma(lambda) = p_n; no Page-time condition applies. (ii) Pre-Page within-sector capacity: the within-sector information capacity I_within(lambda) = S_BH(lambda) - H({p_n}) satisfies I_within(lambda) > S_BH(0)/2 - ln 9 > 0 for all lambda < lambda_Page, confirming that the horizon retains positive within-sector capacity throughout the pre-Page regime. (iii) Horizon-direct retrieval channel: the EHSCM ERASE operation implements a unitary extraction of the within-sector state rho_n(lambda) from H_n(lambda) into an output register with unit fidelity, independent of lambda. Since this channel operates directly on H(lambda) --- not on the Hawking radiation --- it is not subject to the Page-time limit on passive radiation decoding. The combination of (i) and (iii) yields a concrete pre-Page retrieval protocol with unit fidelity. Gap G6 is upgraded from [O] to [V]. Eight of nine PTRH gaps (G1, G2, G3, G4, G5, G6, G8, G9) now carry status [V]; one remains open (G7).