Absorbed clean-list bounds for every distributed request

Write $L=\log n$, $N=n/L$, $Y=\lfloor n^{2/9}\rfloor$, and $h=\mathrm{upperTailLength}(c,n)$. Fix $W,K$, $c>0$, $1<r_0<3/2$, and $0<\delta_*<1/18$. Assume $80C_{\rm Selberg}\delta_*<\mathrm{tangentPaperHeadGap}(W,r_0)$ and put $d=\mathrm{tangentPaperCleanListDensity}(W,r_0)$. Eventually, uniformly over bank realizations and guarded certificates, fixed exceptional subsets of the upper tail, arbitrary finite band and ratio-cell assignments, residuals, and split parameters, assume $W\ge2$, $2\mathrm{depth}+1\le W$, $Y$ below the central-anchor cutoff, and the fixed-ratio cell geometry at $r_0$. For every split request in the ratio-cell earthmover flow, its prescribed lower cardinality $\ell_r$ satisfies

This supplies all requestwise clean-list hypotheses of the distributed Section 9 construction.