fix(telemetry): stamp a compaction on entering the null window

Claude Code's tracker nulls recache_tokens_if_cold at a compaction or a tool-result clearing and only counts the expected rebuild at the next request, which also closes the window, so no report carried both and the old rule never fired. Stamp on the first warm null report after one that carried a value, carry it through idle re-reports and drop it at the next request; the readout now says "Context compacted at HH:MM" since a clearing opens the same window.

Also persist a changed report so a crash restores the latest one, rename the session field to statusLineExporter (statusLineTelemetry is the registry capability) and document its values, word the stake as re-cached, move the readout block above the SSE staleness heading, and drop keep-warm mentions until it lands.

src/tmux-manager.ts

@@ -59,7 +59,7 @@ import {
   type SessionDocker,
   type DockerCommandMode,
   type PaneExit,
-  type StatusLineTelemetry,
+  type StatusLineExporter,
 } from './types.js';
 import { getCli } from './config/cli-registry/registry.js';
 import { missingCliMessage, resolveCliBinDir } from './utils/cli-resolver.js';
@@ -2046,14 +2046,14 @@ export class TmuxManager extends EventEmitter implements TerminalMultiplexer {
    * only (remote/docker have their own separate command builders). Resolving still runs
    * with collection off, because it also self-heals: it strips any legacy disk-written
    * exporter from an older Codeman build the first time a session starts in that
-   * workspace again. `state` lands on the mux record so the Status row and keep-warm can
+   * workspace again. `state` lands on the mux record so the Status row can
    * say why no cache report will come, instead of "not reported yet" forever.
    */
   private async _resolveStatusLine(
     mode: SessionMode,
     workingDir: string,
     remoteOrDocker: boolean
-  ): Promise<{ command?: string; state?: StatusLineTelemetry }> {
+  ): Promise<{ command?: string; state?: StatusLineExporter }> {
     if (!getCli(mode)?.capabilities.statusLineTelemetry) return {};
     if (remoteOrDocker) return { state: 'remote' };
     const enabled = await readPlanUsageTelemetryEnabled();