fix(tui): conditionally restore status indicator using message phase (#10947)

TLDR: use new message phase field emitted by preamble-supported models
to determine whether an AgentMessage is mid-turn commentary. if so,
restore the status indicator afterwards to indicate the turn has not
completed.

### Problem
`commit_tick` hides the status indicator while streaming assistant text.
For preamble-capable models, that text can be commentary mid-turn, so
hiding was correct during streaming but restore timing mattered:
- restoring too aggressively caused jitter/flashing
- not restoring caused indicator to stay hidden before subsequent work
(tool calls, web search, etc.)

### Fix
- Add optional `phase` to `AgentMessageItem` and propagate it from
`ResponseItem::Message`
- Keep indicator hidden during streamed commit ticks, restore only when:
  - assistant item completes as `phase=commentary`, and
  - stream queues are idle + task is still running.
- Treat `phase=None` as final-answer behavior (no restore) to keep
existing behavior for non-preamble models

### Tests
Add/update tests for:
- no idle-tick restore without commentary completion
- commentary completion restoring status before tool begin
- snapshot coverage for preamble/status behavior

---------

Co-authored-by: Josh McKinney <joshka@openai.com>

codex-rs/protocol/src/models.rs

@@ -74,8 +74,17 @@ pub enum ContentItem {
 
 #[derive(Debug, Clone, Serialize, Deserialize, PartialEq, Eq, JsonSchema, TS)]
 #[serde(rename_all = "snake_case")]
+/// Classifies an assistant message as interim commentary or final answer text.
+///
+/// Providers do not emit this consistently, so callers must treat `None` as
+/// "phase unknown" and keep compatibility behavior for legacy models.
 pub enum MessagePhase {
+    /// Mid-turn assistant text (for example preamble/progress narration).
+    ///
+    /// Additional tool calls or assistant output may follow before turn
+    /// completion.
     Commentary,
+    /// The assistant's terminal answer text for the current turn.
     FinalAnswer,
 }
 
@@ -93,7 +102,8 @@ pub enum ResponseItem {
         #[ts(optional)]
         end_turn: Option<bool>,
         // Optional output-message phase (for example: "commentary", "final_answer").
-        // Do not use directly; availability can vary by provider and model.
+        // Availability varies by provider/model, so downstream consumers must
+        // preserve fallback behavior when this is absent.
         #[serde(default, skip_serializing_if = "Option::is_none")]
         #[ts(optional)]
         phase: Option<MessagePhase>,