A common depth and tangent exponent support capacity and the distributed Section 9 terminal

For every real $c>C_0$, there are natural $d,W$ and real $r_0,\delta_*$ such that

$W$ exceeds the public reciprocal-sum and actual-moment cutoffs, $\delta_*$ is the paper combined-tangent exponent for $(c,W,r_0)$, and both the combined-charge terminal and distributed Section 9 terminal hold at the same depth $d$ and exponent $\delta_*$. The distributed terminal means that eventually a single bank and guarded anchor certificate simultaneously satisfy the combined anchor/bank capacity divisibility, base-bank divisibility into the precharged target, and exact target-tail product identity, and admit the full finite Section 9 selector/flow payload. Thus

The width is selected after the analytic completion's cutoff, so no circular width choice is required.