Show turn summaries only in the transcript, not as inbox reports

api/openapi.yaml

@@ -808,12 +808,12 @@ components:
 
     NotificationPrefs:
       type: object
-      description: Which new inbox items notify this user in their open byre pages.
+      description: Which new inbox items and finished turns notify this user in their open byre pages.
       required: [blocking_questions, questions, reports, errors, rate_limits]
       properties:
         blocking_questions: { type: boolean, description: "Questions asked with blocking: true. On by default." }
         questions: { type: boolean, description: Non-blocking questions. }
-        reports: { type: boolean, description: Turn summaries. }
+        reports: { type: boolean, description: "Task turns that end with a summary (turn.ended with summary: true)." }
         errors: { type: boolean, description: session_error items. }
         rate_limits: { type: boolean, description: rate_limited items. }
 
@@ -1109,7 +1109,7 @@ components:
         task_id: { type: string }
         agent_session_id: { type: string }
         thread_id: { type: string }
-        kind: { type: string, enum: [question, report, session_error, rate_limited] }
+        kind: { type: string, enum: [question, session_error, rate_limited] }
         priority:
           type: string
           enum: [blocked, gate, review, fyi]
@@ -1120,7 +1120,6 @@ components:
           description: >
             question: context (Markdown with the choices inline as `- ( ) text` / `- (*) text` pick-one or `- [ ] text` / `- [x] text` pick-any list items),
             question, why_blocked, options (each choice's text, in order), multiple (true for pick-any), recommended (the marked choices' text), attachments.
-            report: text (the final message of a turn that ended normally).
             session_error: error.
             rate_limited: vendor, rate_limit (the vendor's rate-limit status), error.
         state: { $ref: "#/components/schemas/InboxState" }