adapt todo display to the slash/input/session architecture

- TodoPanel mounts through a 'conversation.input.dock' list entry
  (todoDockEntry, QueueDock posture, order -1 above the queue rows) instead
  of a ConversationRoot hardcode; the inner component is unchanged and takes
  useSession from the dock entry's standard kit.
- The verify-todo-display.mjs chromium probe is replaced by an assembled
  keyless snapshot (apps/web/tests/todo-display.snapshot.ts, the
  code-mode-fixture idiom) pinning the TodoRow summary/state, the dock
  panel content, and the collapse round-trip over built bundles.
- Fake snapshots across specs gain the todos field; bilingual note/READMEs
  updated for the dock mount and the snapshot.

packages/client/ui-conversation/src/client/apply.ts

@@ -14,6 +14,7 @@ import { InputBar } from './skeleton/InputBar.tsx'
 import { ChatView } from './chat/ChatView.tsx'
 import { bashToolviewSample } from './toolviews/bash-sample.tsx'
 import { todoToolview } from './toolviews/todo-row.tsx'
+import { todoDockEntry } from './skeleton/TodoPanel.tsx'
 import { queueDockEntry } from './queue/QueueDock.tsx'
 import { ConversationRoot } from './skeleton/ConversationRoot.tsx'
 import { ConversationSession } from './skeleton/ConversationSession.tsx'
@@ -186,6 +187,9 @@ export function apply(ctx: Context): void {
   // The todo_write row rides the same seam (a product registration, not a sample).
   ctx.plugin(todoToolview)
 
+  // The plan strip rides the input dock above the queue rows (same posture).
+  ctx.plugin(todoDockEntry)
+
   // The read-only queue dock entry (T9 file territory) rides the same
   // registration seam into the input dock declared above.
   ctx.plugin(queueDockEntry)

packages/client/ui-conversation/src/client/skeleton/TodoPanel.tsx

@@ -1,10 +1,13 @@
-// TodoPanel: persistent plan strip pinned above the composer (the web
-// counterpart of the TUI plan panel; ACP maps the same event to its native
-// plan). Renders the latest todo/write whole-list snapshot off the session
-// snapshot — no data of its own, hidden while the list is empty. Zero
-// framework imports: useSession arrives via props from ConversationRoot.
+// TodoPanel: persistent plan strip above the composer (the web counterpart
+// of the TUI plan panel; ACP maps the same event to its native plan). Renders
+// the latest todo/write whole-list snapshot off the session snapshot — no
+// data of its own, hidden while the list is empty. Mounted through the
+// 'conversation.input.dock' slot (QueueDock posture): the standard session
+// kit supplies useSession, so the inner component stays framework-free.
 
 import { useState } from 'react'
+import type { Context } from 'cordis'
+import type { PropsRuntime } from '@deepseek-ai/dsh-client-ui-slots'
 import type { TodoItem } from '@deepseek-ai/dsh-client-runtime/client'
 import type { UseSession } from '@deepseek-ai/dsh-client-ui-slots'
 import { IconChevronDownOutline14, IconChevronUpOutline14 } from '@deepseek-ai/dsh-client-ui-primitives'
@@ -57,3 +60,29 @@ export function TodoPanel({ useSession }: TodoPanelProps) {
     </section>
   )
 }
+
+/** Full props of a dock entry: InputZone owner share + session standard kit + global seat. */
+export type TodoDockProps = PropsRuntime<'conversation.input.dock'>
+
+/** Dock adapter: the standard kit's useSession feeds the strip. */
+export function TodoDock({ useSession }: TodoDockProps) {
+  return <TodoPanel useSession={useSession} />
+}
+
+/**
+ * The plan strip as a plain registrant plugin (QueueDock posture).
+ * `inject: ['conversation']` is the ordering seam: the conversation service
+ * mounts after ui-conversation's slot registrations, so the
+ * 'conversation.input.dock' declaration is on the ledger by then.
+ */
+export const todoDockEntry = {
+  name: 'conversation-todo-dock',
+  inject: ['slots', 'conversation'],
+  /**
+   * Register the plan strip into the input dock (list entry, above the queue rows).
+   * @param ctx - registrant context (disposal rides ctx.effect inside slots.register).
+   */
+  apply(ctx: Context): void {
+    ctx.slots.register({ name: 'conversation.input.dock', id: 'todo', order: -1 }, TodoDock)
+  },
+}