Update claude-api skill: Managed Agents July launch wave, partner pricing, tool-runner corrections (#1463)

Syncs the claude-api skill with the current upstream source.

## Managed Agents — five new features

- `effort` on the agent's `model` object (a level string or `{"type": "<level>"}`).
  It is agent-configuration only: setting it in a per-session `model` override is
  silently ignored.
- Optional `version` on agent update, for optimistic concurrency. Omit it for
  last-write-wins.
- `initial_events` on session create, collapsing create plus first send into one
  call. Validation is all-or-nothing and only `user.message` and
  `user.define_outcome` are accepted.
- Environment and memory-store webhooks: four `environment.*` events and three
  `memory_store.*` events.
- Event deltas on per-thread streams. Previews are thread-scoped, so a child
  thread's previews never reach the session-level stream.

## Corrections to behavior the skill already documented

- Tool output offload triggers at 100,000 characters (~25k tokens), not 100K
  tokens, and covers built-in tools rather than MCP alone.
- `system.message` works on four models, checks only the primary model, appends
  system context instead of replacing the prompt, and is accepted during a
  `requires_action` idle when it trails a tool result in the same request.
- Vault-to-MCP credential matching is normalized (scheme and host lowercased,
  default ports and trailing slashes stripped), not byte-exact.
- Multiagent depth greater than 1 is a validation error, not silently ignored.
- Outcome `interrupted` fires even when evaluation never started, and then
  carries an empty-string `outcome_evaluation_start_id`.
- Deployment jitter is 15% of the run interval, floor 5s, cap 9 minutes.
- Webhooks retry three times with jittered 5-120s backoff, then drop silently.
  Auto-disable is duration-based with three named triggers.
- `session.status_terminated` means completion or error.
- `agent.thinking` is a progress signal and carries no thinking content.
- `processed_at` is already populated on first sighting for
  `user.define_outcome`, `user.custom_tool_result`, and `user.tool_result`.
- Session creation does not provision the sandbox.
- Skill `version` applies to Anthropic-authored skills too.
- Console-created vault credentials are header-injection only, and vault
  environment-variable substitution skips secrets in URL paths.
- Console trace URLs need the real workspace ID when the API key is not in the
  Default workspace.

## Elsewhere in the skill

- Note partner pricing under the first-party price table: Microsoft Foundry
  bills at standard API rates, while Amazon Bedrock and Vertex AI are
  partner-operated with separate pricing.
- Correct the tool-runner human-in-the-loop guidance, which previously pointed
  readers at the manual loop for approval gates the runner's per-turn hooks
  already cover.
- Repoint links away from the retired documentation hosts.
- Dedupe eagerly loaded SKILL.md content that the per-section files already
  cover.

skills/claude-api/shared/managed-agents-client-patterns.md

@@ -39,7 +39,9 @@ for await (const event of stream) {
 
 ## 2. `processed_at` — queued vs processed
 
-Every event on the stream carries `processed_at` (ISO 8601). For client-sent events (`user.message`, `user.interrupt`, `user.tool_confirmation`, `user.custom_tool_result`) it's `null` when the event has been queued but not yet picked up by the agent, and populated once the agent processes it. The same event appears on the stream twice — once with `processed_at: null`, once with a timestamp.
+Every event on the stream carries `processed_at` (ISO 8601), set when the event finishes processing. For client-sent events (`user.message`, `user.interrupt`, `user.tool_confirmation`) it's `null` while the event is queued behind earlier ones, and populated once the agent processes it — so the same event appears on the stream twice, once with `null` and once with a timestamp.
+
+**Three event types skip the queued phase:** `user.define_outcome`, `user.custom_tool_result`, and `user.tool_result` are processed on receipt and echoed back with `processed_at` already populated. A pending → acknowledged UI that assumes "first sighting is always `null`" will never clear for these — treat a populated `processed_at` on first sighting as immediately acknowledged.
 
 ```ts
 for await (const event of stream) {
@@ -198,7 +200,11 @@ for await (const event of stream) {
   if (event.type === 'agent.custom_tool_use' && event.name === 'linear_graphql') {
     const result = await linear.request(event.input.query, event.input.vars) // host's key
     await client.beta.sessions.events.send(session.id, {
-      events: [{ type: 'user.custom_tool_result', tool_use_id: event.id, result }],
+      events: [{
+        type: 'user.custom_tool_result',
+        custom_tool_use_id: event.id,
+        content: [{ type: 'text', text: JSON.stringify(result) }],
+      }],
     })
   }
 }