Add experimental app-server project APIs (#38940)

## What changed

- Add SQLite-backed `project/list`, `project/read`, `project/create`,
  `project/import`, `project/update`, `project/move`, and `project/delete`
  endpoints with ordered roots, metadata, manual positioning, pagination, and
  idempotent creation.
- Add project assignment to thread start, metadata updates, list filtering,
  and fork inheritance. Project deletion clears assignments without deleting
  threads.
- Emit `project/changed` and `thread/project/updated` notifications after
  committed changes, and export the new protocol schemas and TypeScript types.

## Testing

- Cover project lifecycle and ordering, idempotency, atomic imports, cursor and
  filter validation, thread assignment, deletion, and fork inheritance.

GitOrigin-RevId: 47ae621be01ab8ef70a74a629fb29a5c5709ea33

codex-rs/exec/src/lib.rs

@@ -1591,6 +1591,7 @@ async fn resolve_resume_thread_id(
                         source_kinds: Some(all_thread_source_kinds()),
                         archived: Some(false),
                         section_id: None,
+                        project_id: None,
                         parent_thread_id: None,
                         ancestor_thread_id: None,
                         cwd: None,
@@ -1675,6 +1676,7 @@ async fn resolve_resume_thread_id(
                     source_kinds: Some(all_thread_source_kinds()),
                     archived: Some(false),
                     section_id: None,
+                    project_id: None,
                     parent_thread_id: None,
                     ancestor_thread_id: None,
                     cwd: None,

codex-rs/exec/src/lib_tests.rs

@@ -337,6 +337,7 @@ fn turn_items_for_thread_returns_matching_turn_items() {
         ephemeral: false,
         section: None,
         section_entered_at: None,
+        project_id: None,
         history_mode: Default::default(),
         model_provider: "openai".to_string(),
         created_at: 0,
@@ -816,6 +817,7 @@ fn sample_thread_start_response() -> ThreadStartResponse {
             ephemeral: false,
             section: None,
             section_entered_at: None,
+            project_id: None,
             history_mode: Default::default(),
             model_provider: "openai".to_string(),
             created_at: 0,