feat(web): list background tasks in the session header

The task registry has run every background bash, pwsh, pty-send, and
one-shot subagent since it landed, but only the model could read it: a
human at the Web client could not see that a build was running, tell a
finished task from a stuck one, or find its outcome anywhere but the
`run_in_background` tool card that printed an id and never updated.

Task state now reaches the browser as one whole-snapshot `session/tasks`
mux frame per session, pushed at every registry commit that changes what
that session can see. `TaskService` gains `onTasksChanged`, which is
owner-granular because owner-disposal removal is a change no per-task
record can express. The carrier reads the exact owner the listener hands
it, so a push stays correct while that scope tears down, and reads the
baseline through the non-resuming `ctx.agents.get` so listing never
revives a cold session. The client keeps a last-wins mirror on
`SessionListState`, and a new `dsh-client-ui-task` package renders it
beside the subagent catalog — rendering nothing at all until the session
has a task, so an ordinary conversation grows no new chrome.

Streamed per-task output and human-initiated cancellation are separate
phases; the note records why neither has to undo this channel, and why
no Web path may call the consuming `ctx.tasks.read()`.

docs/config-catalog.md

@@ -2565,6 +2565,7 @@ These load from a `cordis.yml` entry with no `config:` block; they declare no co
 - `@deepseek-ai/dsh-client-ui-skill` ([`packages/client/ui-skill/src/index.ts`](../packages/client/ui-skill/src/index.ts))
 - `@deepseek-ai/dsh-client-ui-slash` ([`packages/client/ui-slash/src/index.ts`](../packages/client/ui-slash/src/index.ts))
 - `@deepseek-ai/dsh-client-ui-subagent` ([`packages/client/ui-subagent/src/index.ts`](../packages/client/ui-subagent/src/index.ts))
+- `@deepseek-ai/dsh-client-ui-task` ([`packages/client/ui-task/src/index.ts`](../packages/client/ui-task/src/index.ts))
 - `@deepseek-ai/dsh-client-ui-theme` ([`packages/client/ui-theme/src/index.ts`](../packages/client/ui-theme/src/index.ts))
 - `@deepseek-ai/dsh-client-ui-tool` ([`packages/client/ui-tool/src/index.ts`](../packages/client/ui-tool/src/index.ts))
 - `@deepseek-ai/dsh-client-ui-trajectory` ([`packages/client/ui-trajectory/src/index.ts`](../packages/client/ui-trajectory/src/index.ts))