feat(i18n): the Run button family, and the Help modal and shortcut overlay leftovers, in Chinese

Owner request: translate "Run SH" and the rest of the Run family, plus
the two leftovers from the last report.

Run: one pattern turns "Run <code>" (Run CC, Run SH, Run OC, Run CX ...,
and any registry CLI's shortBadge) into "运行 <code>"; the mode codes and
product names stay, and exact entries still win ("Run Shell" was already
运行 Shell, "Run OMP" 运行 OMP, "Run PI" takes the "Run Pi" entry). New
entries: "Terminal / Shell" (the run menu's shell item) and "Send Enter"
(the phone toolbar's Enter button title). The phone overview's Run button
already showed 运行 beside a mode word kept as typed.

Help modal and shortcut overlay: "Tabs", "Toggle Session Sidebar", both
"Copy Selection" rows, "Focus Tabs", and "Wheel" (滚轮, a mouse input like
Click). Key names stay English: the Help modal's Home key, and every key
the overlay renders, now carry data-i18n-skip, because "Home" is also a
dictionary word (the Home button) and showed as 主页 in the key column.

The invariants' paneExit section gains the badge's translation rule
(from the previous commit): its updates compare with the remembered
English, never the DOM.

Tests: i18n-exit-run-help covers every Run label _applyRunMode can show
(its hard-coded ones and Run <shortBadge> for every stock CLI), the
toolbar titles, the Help modal through the real translator in JSDOM (no
English outside the key column, the Home key kept while the word Home
elsewhere still translates, Wheel translated), every shortcut registry
group and label, and that the overlay's keys are skipped.

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

docs/architecture-invariants.md

@@ -241,6 +241,8 @@ Further detail, closing: ⚠️ **Closing has the mirror-image race and one owne
 
 **Codeman creates every pane with `remain-on-exit on`, so a session whose agent exited still looks alive.** `/exit` ends the CLI, tmux keeps the pane and the tmux session, and the `tmux attach-session` process Codeman records as `Session.pid` runs on, so no PTY exit handler fires and the record keeps its pid and `status: 'idle'` (Ark0N/Codeman#446). `SessionState.paneExit` (`{status?, signal?, at}`) is the fact tmux already knows, published through `toState()` so it rides `session:updated` and lands in `state.json` on the same persist — there is no SSE event for it. One batched `tmux list-panes -a` per tick fills it, from `TmuxManager.startPaneExitWatcher()`, which has its OWN always-on interval: the stats collector cannot carry it, because the browser arms and disarms that one with the Monitor panel (`panels-ui.js`) and boot skips it entirely when no session was recovered. ⚠️ **The field is TRI-STATE and its third state is absence**, meaning UNKNOWN, which renders as nothing and must NEVER read as alive; it covers a running pane, a session the read did not list, a failed probe, and every session shape a dead local pane does not describe. `Session.paneExitApplies` is the single place that scoping lives, and it fails closed for four shapes: a direct-PTY session (no pane), a remote SSH session (the local pane is the ssh client, whose death is a transport drop OR an exit — the whole of #355), a docker case (the local pane is a `docker exec` into the container's own tmux), and a session rebuilt from the socket (`MuxSession.discovered`: its synthetic `restored-<fragment>` id matches no `state.json` entry, so a remote session rediscovered after `mux-sessions.json` was lost would arrive looking local). ⚠️ **Never set `status: 'error'`** for an exited pane — that value is the PTY-exit breaker's and the browser answers it with a "restart it?" confirm — and **never null the `pid`**, which is what makes `selectSession()` re-attach and launch a fresh CLI. Local panes keep `remain-on-exit on`; flipping them to `failed` ends the tmux session, nulls the pid and reintroduces the auto-revive #355 removed. ⚠️ **An absent `#{pane_dead_status}` is not 0**: measured on tmux 3.2a a SIGKILLed pane reports neither a status nor a signal (`#{pane_dead_signal}` did not exist before tmux 3.4), so folding it into 0 would turn an unexplained death into a clean exit. A session answers only when the read listed EXACTLY ONE pane for it, since Codeman never splits a pane and a session the user split by hand has none that speaks for the agent. The three synchronous `isPaneDead()` callers (the `/wait` route, the TUI, the attach path) keep their own probes — this watcher is never fresh enough for them. ⚠️ **A path that starts a command in a pane must clear the record AND persist**, since the watcher's next tick sees the field already cleared and writes nothing. ⚠️ **The always-on timer gates the READ, never the tick.** `hasObservablePaneSession()` (`tmux-manager.ts`) skips the tmux exec while every session on the manager is one of the shapes `paneExitApplies` forces to UNKNOWN, so an instance running only remote or Docker work keeps ticking and costs nothing; the two predicates are two copies of one rule, and `test/session-pane-exit.test.ts` pins them against each other for the four session shapes that exist today — a FIFTH condition added to one and not the other still fails nothing, so change them together. Skipping retracts nothing, for the same reason a failed read does not. ⚠️ **The muted status dot is a specificity fight, and it is fought on three surfaces.** The tab renders `status` as before, and `tab-agent-exited` only quiets the dot, so the rule excludes three states BY HAND: `.tab-alert-action` and `.tab-alert-idle` on the tab, and `.tab-status.error` on the dot itself. Each of those colours means "this needs you" — the two alerts because a human is blocked, `error` because the browser answers it with a "restart it?" confirm — and each must survive the exit. The rich tab rail needs a SECOND copy of the rule, because its own `tab-state-*` dot rules are (0,9,1) against the strip's (0,5,0) — measured, an exited session on a detailed rail kept a full green dot and the working halo beside a badge reading "exited". Its twin matches that specificity exactly and therefore must stay BELOW those rules in source order. mobile.css needs a THIRD copy, with `!important`, because the phone block enlarges a `busy` dot and gives it a green glow that way, and `status` stays `busy` for a pane whose agent died mid-turn — without it a phone renders a grey dot still wearing the green halo. `test/session-pane-exit-ui.test.ts` resolves the real stylesheets in jsdom rather than matching selector text — styles.css for the desktop cases and both files for the phone ones — so the ordering, the hand-written exclusions and a missing phone rule all fail there. Tests: `test/session-pane-exit.test.ts`, `test/tmux-manLine truncated
 
+⚠️ **The tab's badge is translated (zh-CN), so its updates compare with English, never the DOM.** `applyPaneExitBadge()` remembers the last English badge text (`data-label`) and the tab's accessible name (`data-aria-source`), both also seeded by the full render, and writes only when those change: the translator rewrites both in zh-CN, and a DOM compare (or an unconditional set) would write the English back on every incremental pass for it to translate again. i18n.js has `exited` and patterns for `exited (N)`, `exited (signal N)` and `<name> session, agent exited ...` (the name passed through); `test/i18n-exit-run-help.test.ts` covers every `paneExitLabel()` form.
+
 **A session whose agent exited cleanly is closed, and a crashed one is kept** (Ark0N/Codeman#446, part 2). After every pane read, `closeCleanlyExitedSessions()` (`server.ts`) closes each session that `shouldCloseCleanlyExitedSession()` (`pane-exit-sweep.ts`, pure) accepts, through `cleanupSession(id, true, CLEAN_EXIT_CLOSE_REASON)`. That is the X button's path, so an unpinned session is removed, a pinned one is demoted to `status: 'stopped'`, the lifecycle log records why, and the conversation stays resumable from the Resume list, which reads the lifecycle log and the transcripts rather than the pane. The rule has four parts, and each guards against a wrong close:
 
 - ⚠️ **The status must be an explicit numeric 0 with no signal** (`isCleanPaneExit()`). An absent status is how a SIGKILL presents on tmux 3.2a, so `status ?? 0` would close an agent the OOM killer took. A non-zero status or any signal keeps the row, marked with the exit, as the crash evidence #210 was filed to keep.