fix: three things that were known and written nowhere

All three have the same shape — the system learns something and only stderr
hears it — and each was flagged in the handoff as a silent-discard defect.

The gate's install outcome. `container_tool_hooks::install` returned Some or
None and both call sites wrote `let _ =`. A mission whose gate never installed
left a record indistinguishable from one whose gate stood there and matched
nothing. `EnsuredContainer` now carries the outcome to the callers that have a
pool, and they record `gate.installed` (with the settings path) or
`gate.absent` on the mission, so "was this mission gated?" is answerable from
the mission.

The inert marker. `vm_tool_gate` writes an `inert` file when it cannot parse
its input and allows everything, precisely so an inert gate does not look like
a permissive one. The only reader was a unit test. `drain_inert` now reads and
clears it at every tap drain, and a `gate.inert` event with the occurrence count
lands beside the calls that ran unchecked.

The judge's spend. `LlmEvent::Usage` arrived on every judge call and was
matched by `Ok(_) => {}`. Two plan exhaustions (2026-08-29, 2026-09-09) with
no row anywhere saying a judge token had been spent; `usage_events` had no
provider or model column. The loop now accumulates requests and tokens onto the
Verdict — counting a request BEFORE the stream opens, so a 429 the provider
refused still counts, because the retry storm was made of those — and
`record` writes a `kind = 'judge'` row with provider, model, mission and
request count. Migration 0085 adds the columns, all nullable, so the two
existing writers are untouched.

Tests: a scripted-provider verdict records one request and nonzero tokens; a
provider that refuses still records the request and zero tokens.

Co-Authored-By: Claude Opus 5 <[email protected]>
Claude-Session: https://claude.ai/code/session_01WZb5A2kfVfjpdwSochkuHz

crates/cm-api/src/mission_orchestrator.rs

@@ -170,6 +170,13 @@ pub async fn on_launch(
         match prov.ensure_container(mission_id).await {
             Ok(ec) => {
                 mission_gateway = Some(ec.endpoint.clone());
+                crate::container_tool_hooks::record_install(
+                    pool,
+                    mission_id,
+                    None,
+                    ec.hooks.as_deref(),
+                )
+                .await;
                 let container_name = crate::mission_runtime::container_name(mission_id);
                 if let Err(e) = cm_db::repo::missions::set_runtime_binding(
                     pool,