[iamnbutler]

Addresses gap g5 from the onboarding map. Part of #543.

The host kept the directory's GET / answer only in memory, so after every Ace Helper restart the team's services (HOSTED, APP, COMPUTE) were missing until the first sync succeeded, and permanently while the directory was unreachable: no "Move to cloud", no "Run in cloud", no web app origin from the directory.

• <ACE_HOME>/directory.json now also records app, hosted, and compute from the last successful sync; the host loads them at start and each sync rewrites them when they change.
• Joining, changing, or leaving the directory rewrites the file with only the URL (or removes it), so another directory's services never linger.
• Services load and save only when the file names the directory being synced, so ACE_DIRECTORY alone never creates the file.
• The new fields are optional; older hosts read only url. This is host config, not channel data.
• Shares (also named in Keep the team's service URLs across Ace Helper restarts #543) are left in memory: they gate project access, and serving a stale copy offline is a separate decision.

Smoke test with a source host on port 4412 (isolated ACE_HOME, ACE_CONFIG_HOME, ACE_KEYCHAIN_SERVICE) against services/directory under local wrangler dev with APP/HOSTED/COMPUTE vars: after the first sync directory.json held all three; with the directory stopped, a restarted host still offered the cloud move target and ace web printed the directory's app; ace directory off removed the file, and both disappeared. bun types and bun run ci pass.

Built in Ace

No. Claude Code worked outside Ace, in a lane, while the user was away and unattended work could not run in an Ace channel. See #5.