feat(deepseek): add DeepSeek Harness (dsh) as a ninth CLI run mode

Adds `mode: 'deepseek'` alongside claude/shell/opencode/codex/gemini/
antigravity/pi/grok, plus a shortcut that opens the harness's own browser UI
as a Codeman web tab.

DeepSeek is wired unlike its siblings in three ways, each of which is the
reason for a design decision rather than an accident:

1. The agent is a PROFILE, not the binary. `dsh` is a launcher over
   $DSH_HOME/profiles/<name>, and DeepSeek ships only `web`, `headless` and
   `base` -- the interactive terminal front door is always a third-party
   plugin. So availability is two questions: `isDeepSeekAvailable()` (binary)
   and `isDeepSeekRunnable()` (binary AND a pane-capable profile). The Run
   button gates on the latter, because reporting only the binary would spawn a
   pane that dies on arrival. When the binary is present but no profile is,
   the run menu offers to install one (POST /api/deepseek/install-profile).

2. The permission switch is an env var, not a flag. The harness has no
   command-line permission option; its sandbox/approval rows read
   DSH_PERMISSION_MODE (read-only / workspace-write / danger-full-access).
   Exported via `tmux setenv`, never on the spawn line. Absent = the harness's
   own workspace-write, which still asks, so the multi-user clamp is the
   only-if-sent branch and clamps to workspace-write, never read-only.

3. It is the only non-claude mode that passes hooksAvailableForMode(), and it
   earned that. The terminal front door reports idle/working/blocked to a
   supervising process over a generic env-gated contract; a generated shim
   (deepseek-status-shim.ts) makes Codeman that supervisor and forwards each
   report to /api/hook-event as stop / agent_working / permission_prompt. So a
   dsh session gets definitive respawn triggers, real wait-endpoint signals and
   real Approvals Inbox items instead of output-stabilization guesswork.
   `agent_working` is new (157th SSE constant) and joins
   APPROVAL_RESOLVING_EVENTS so a dialog answered in the terminal clears its
   alert at once.

The resolver needs the strictest identity probe of the family: `dsh` is not
merely a squattable npm name, Debian ships an unrelated `dsh` (dancer's shell),
so `dsh --help` must print the harness's own banner before a candidate is
handed a spawn line.

Model is deliberately not a session field -- it is a composition entry in the
profile's config tree. Env allowlist gains DSH_* and DEEPSEEK_* only; provider
keys named by a settings-file `apiKeyEnv` stay out, which is pi's
34-provider-key problem in a new shape.

Verified live against dsh 0.1.1-rc.2 and @deepseek-harness-tui/dsh-tui: the
status endpoint's two-part answer, the no-profile refusal, the profile
bootstrap, a real session whose pane runs `dsh --profile dsh-tui` with the
permission mode injected via setenv, and the full status bridge -- a
send-and-wait returned signal "stop" from a real turn, and blocked/working
created and cleared an Approvals Inbox item.

Docs: docs/deepseek-integration.md (guide), docs/deepseek-integration-plan.md
(decisions + honest gaps). Tests: test/deepseek-mode.test.ts,
test/deepseek-cli-resolver.test.ts.

Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>

src/web/public/app.js

@@ -240,6 +240,7 @@ const _SSE_HANDLER_MAP = [
   [SSE_EVENTS.HOOK_ELICITATION_COMPLETE, '_onHookElicitationComplete'],
   [SSE_EVENTS.HOOK_ELICITATION_RESPONSE, '_onHookElicitationResponse'],
   [SSE_EVENTS.HOOK_STOP, '_onHookStop'],
+  [SSE_EVENTS.HOOK_AGENT_WORKING, '_onHookAgentWorking'],
   [SSE_EVENTS.HOOK_TEAMMATE_IDLE, '_onHookTeammateIdle'],
   [SSE_EVENTS.HOOK_TASK_COMPLETED, '_onHookTaskCompleted'],
 
@@ -2252,9 +2253,11 @@ class CodemanApp {
             ? 'Pi'
             : mode === 'grok'
               ? 'Grok'
-              : mode === 'opencode'
-                ? 'OpenCode'
-                : 'Claude';
+              : mode === 'deepseek'
+                ? 'DeepSeek'
+                : mode === 'opencode'
+                  ? 'OpenCode'
+                  : 'Claude';
   }
 
   async toggleResponseViewer() {
@@ -4805,7 +4808,7 @@ class CodemanApp {
           <span class="tab-status ${status}" aria-hidden="true"></span>
           <span class="tab-info">
             <span class="tab-name-row">
-              ${mode === 'shell' ? '<span class="tab-mode shell" aria-hidden="true">sh</span>' : mode === 'opencode' ? '<span class="tab-mode opencode" aria-hidden="true">oc</span>' : mode === 'codex' ? '<span class="tab-mode codex" aria-hidden="true">cx</span>' : mode === 'gemini' ? '<span class="tab-mode gemini" aria-hidden="true">gm</span>' : mode === 'antigravity' ? '<span class="tab-mode antigravity" aria-hidden="true">ag</span>' : mode === 'pi' ? '<span class="tab-mode pi" aria-hidden="true">pi</span>' : mode === 'grok' ? '<span class="tab-mode grok" aria-hidden="true">gk</span>' : ''}
+              ${mode === 'shell' ? '<span class="tab-mode shell" aria-hidden="true">sh</span>' : mode === 'opencode' ? '<span class="tab-mode opencode" aria-hidden="true">oc</span>' : mode === 'codex' ? '<span class="tab-mode codex" aria-hidden="true">cx</span>' : mode === 'gemini' ? '<span class="tab-mode gemini" aria-hidden="true">gm</span>' : mode === 'antigravity' ? '<span class="tab-mode antigravity" aria-hidden="true">ag</span>' : mode === 'pi' ? '<span class="tab-mode pi" aria-hidden="true">pi</span>' : mode === 'grok' ? '<span class="tab-mode grok" aria-hidden="true">gk</span>' : mode === 'deepseek' ? '<span class="tab-mode deepseek" aria-hidden="true">ds</span>' : ''}
               <span class="tab-name" data-session-id="${id}" data-full-name="${escapeHtml(name)}">${tabLabel}</span>
               ${inlineSessionActions ? tabActionsHtml : ''}
               <span class="tab-detached-badge" aria-hidden="true">detached</span>
@@ -6238,7 +6241,9 @@ class CodemanApp {
                 ? 'Kill Tmux & Pi'
                 : session.mode === 'grok'
                   ? 'Kill Tmux & Grok'
-                  : 'Kill Tmux & Claude Code';
+                  : session.mode === 'deepseek'
+                    ? 'Kill Tmux & DeepSeek'
+                    : 'Kill Tmux & Claude Code';
     }
 
     document.getElementById('closeConfirmModal').classList.add('active');