e780c5246c
`bug_participant-count-stays-at-zero` described a failure that no longer exists and an open question that turned out to be the same failure seen from the other side. It becomes `caveat_participant-count-one-connection-lag`, and the type change is the point: what remains is a bounded delay whose cause sits entirely outside the application, not a defect this repo can act on. Gone from it: the multi-inbox race, "never converges", and the withdrawal asymmetry recorded as unexplained. That asymmetry WAS the race — with one inbox per document both paths now share the identical one-connection lag, so nothing is left unaccounted for. What it says now: the count needs one connection more than the write that produced it, because the layer does not notify you of your own actions — a deposit into an inbox you watch raises no push, and a write to your own document is not re-read in the writing session. Both measured, both raised with the provider, and neither compensated here: a retry or a poll is precisely what the doctrine forbids. Repaired alongside: the leaves that still described DELETE-then-INSERT, the materializer's old shape, and the probe cookbook's tally of open defects. The two new primitives are recorded where the shared utilities are listed, marked unit-tested.