feat: add dynamic tools support for chat API (#24036)

Adds client-executed dynamic tools to the chat API. Dynamic tools are
declared by the client at chat creation time, presented to the LLM
alongside built-in tools, but executed by the client rather than chatd.
This enables external systems (Slack bots, IDE extensions, Discord bots,
CI/CD integrations) to plug custom tools into the LLM chat loop without
modifying chatd's built-in tool set.

Modeled after OpenAI's Assistants API: the chat pauses with
`requires_action` status when the LLM calls a dynamic tool, the client
POSTs results back via `POST /chats/{id}/tool-results`, and the chat
resumes.

See [this example](https://github.com/coder/coder-slackbot-poc) as a
reference for how this is used. It's highly-configurable, which would
enable creating chats from webhooks, periodically polling, or running as
a Slackbot.

<details>
<summary>Design context</summary>

### Architecture

The chatloop **exits** when it encounters dynamic tools and
**re-enters** when results arrive. No blocking channels, no pubsub for
tool results, no in-memory registry. The DB is the only coordination
mechanism.

```
Phase 1 (chatloop):
  LLM response → execute built-in tools only →
  Persist(assistant + built-in results) →
  status = requires_action → chatloop exits

Phase 2 (POST /tool-results):
  Persist(dynamic tool results) →
  status = pending → wakeCh → chatloop re-enters
```

### Validation (POST /tool-results)

1. Chat status must be `requires_action` (409 if not)
2. Read chat's `dynamic_tools` → set of dynamic tool names
3. Read last assistant message → extract tool-call parts matching
dynamic tool names
4. Submitted tool_call_ids must match exactly (400 for missing/extra)
5. Persist tool-result message parts, set status to `pending`, signal
wake

### Idempotency

Tool call IDs scoped per LLM step. State machine (`requires_action` →
`pending`) is the guard. First POST wins, subsequent get 409.

### Mixed tool calls

When the LLM calls both built-in and dynamic tools in one step, built-in
tools execute immediately. Their results are persisted in phase 1.
Dynamic tool results arrive via POST in phase 2. The LLM sees all
results when the chatloop resumes.

</details>

> 🤖 Generated by Coder Agents

coderd/database/dump.sql

@@ -293,7 +293,8 @@ CREATE TYPE chat_status AS ENUM (
     'running',
     'paused',
     'completed',
-    'error'
+    'error',
+    'requires_action'
 );
 
 CREATE TYPE connection_status AS ENUM (
@@ -1418,7 +1419,8 @@ CREATE TABLE chats (
     agent_id uuid,
     pin_order integer DEFAULT 0 NOT NULL,
     last_read_message_id bigint,
-    last_injected_context jsonb
+    last_injected_context jsonb,
+    dynamic_tools jsonb
 );
 
 CREATE TABLE connection_logs (