Add contextual teacher help entry and simplify consultation panel

shared/coding-teacher.ts

@@ -2,6 +2,7 @@ import type { ManagedReasoningChoice } from './managed-model-capabilities';
 import type { PublicUsage } from './coding-conversation-contracts';
 
 export type ConsultationRole = 'teacher' | 'friend';
+export type TeacherRequestIntent = 'question' | 'suggestions' | 'guided-help';
 
 export interface TeacherDefinition {
   schema_version: 1;
@@ -52,6 +53,7 @@ export type TeacherRequestStatus =
   | 'cancelled'
   | 'interrupted';
 export interface TeacherRequest {
+  intent?: TeacherRequestIntent;
   sourceConversationId?: string;
   id: string;
   text: string;
@@ -63,6 +65,7 @@ export interface TeacherRequest {
   omittedMessages: number;
   status: TeacherRequestStatus;
   response: string;
+  suggestedQuestions?: string[];
   error?: string;
   usage?: PublicUsage;
 }
@@ -87,6 +90,7 @@ export interface TeacherTopicList {
   lastSelectedTopicId: string | null;
 }
 export interface TeacherSend {
+  intent?: TeacherRequestIntent;
   sourceConversationId?: string;
   requestId: string;
   text: string;