Implement Rust web sidebar title and tree interactions

wolai-frontend/src/components/editor/DocumentAiAgentPanel.runtime.tsx

@@ -692,7 +692,7 @@ export function DocumentAiAgentPanelRuntime({
     }
 
     try {
-      const res = await fetch("/api/ai-agent/run", {
+      const res = await fetch(DOCUMENT_AI_BRIDGE_ISLAND_CONTRACT.runEndpoint, {
         method: "POST",
         headers: { "Content-Type": "application/json" },
         signal: controller.signal,

wolai-frontend/src/types/search.ts

@@ -36,6 +36,7 @@ export interface DocumentSearchResult {
   score: number;
   nodeId?: string | null;
   subtreeRootId?: string | null;
+  projectionOwner?: "rust-kernel" | "compat-index";
   evidence?: Array<{
     kind: string;
     nodeId?: string | null;
@@ -44,6 +45,7 @@ export interface DocumentSearchResult {
 }
 
 export interface DocumentSearchResponse {
+  projectionOwner?: "rust-kernel" | "compat-index";
   results: DocumentSearchResult[];
   recent: DocumentSearchResult[];
 }