fix(omp): read omp's status bar so an omp turn can end

An omp session stayed "working" for good once a turn started, the same
latch pi had: omp's braille spinner trips the SPINNER_PATTERN fast path,
and only a composer glyph arms the idle confirmation. omp declared none,
so it fell back to Claude's `❯`, which omp never draws once its setup
wizard is done.

Measured on live omp 18.8.6 and 18.0.11 panes, holding a turn open
against a local endpoint that never answers: the input row is `╰─ <text>`
and is redrawn at submit, at the end of a turn, at launch and on
reattach. While a turn runs, the status bar's leading `π` becomes a
braille spinner plus the elapsed time (` ⠼ 14s > ⬢ model > ...`; 18.0.11
pads it with two spaces, past a minute it reads `1m`), with a
`⎋ Working…` row above it. The registry entry now names the input row as
the glyph and either working signal as the working line.

The glyph also switches the submit verifier on for omp, which reads the
input row the way it reads Claude's composer. A prompt sent mid-turn goes
to omp's Steering queue and clears the row, so the verifier stands down.
Text left in the row after an Enter is the one case it re-presses.

Verified end to end on a sandboxed instance (own HOME and PATH, omp
18.8.6): session:idle at launch, session:working during a turn,
session:idle about 3 s after it ended, and a restored pane settled idle
about 3 s after a server restart.

Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>

docs/wiki/Agent-CLIs.md

@@ -69,7 +69,7 @@ output. The other CLIs expose no equivalent.
 | Respawn cycling and unattended runs               | Yes    | Yes                                                  |
 | Cron jobs                                         | Yes    | Yes                                                  |
 | Docker cases, remote SSH cases                    | Yes    | Yes                                                  |
-| Precise idle detection                            | Yes    | Codex, Pi and OpenCode: same screen check, via their own prompt and working line. DeepSeek: reports its state itself. Others: output stabilization, coarser |
+| Precise idle detection                            | Yes    | Codex, Pi, OpenCode and OMP: same screen check, via their own prompt and working line. DeepSeek: reports its state itself. Others: output stabilization, coarser |
 | Auto-resume when a usage limit resets             | Yes    | No                                                   |
 | Plan usage chip                                   | Yes    | No                                                   |
 | Approvals Inbox                                   | Yes    | DeepSeek yes; others no                              |
@@ -231,7 +231,9 @@ documented default approval mode is `yolo`, so an OMP pane auto-approves tool us
 flag from Codeman; change that in OMP's own config, not here.
 
 OMP conversations appear in Past Sessions and can be resumed, and a respawn continues the
-same conversation with `--continue`.
+same conversation with `--continue`. Codeman tells working from idle by reading OMP's status
+bar, where a spinner and the elapsed time replace the `π` while a turn runs. Before 1.36.0
+an OMP session that had started a turn showed as working for good.
 
 Guide: [`docs/omp-integration.md`](https://github.com/Ark0N/Codeman/blob/master/docs/omp-integration.md).