Move search state into ToolControls and PromptControls, search response in history

- ToolControls and PromptControls now manage searchText as local state
  and filter their lists internally (matches on name + title/description)
- Removed searchText/onSearchChange props from ToolsScreen, PromptsScreen,
  and their associated stories
- HistoryListPanel search now also matches against stringified response
  payloads

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

clients/web/src/components/screens/ToolsScreen/ToolsScreen.stories.tsx

@@ -10,9 +10,7 @@ const meta: Meta<typeof ToolsScreen> = {
   component: ToolsScreen,
   parameters: { layout: "fullscreen" },
   args: {
-    searchText: "",
     listChanged: false,
-    onSearchChange: fn(),
     onRefreshList: fn(),
     onSelectTool: fn(),
   },

clients/web/src/components/screens/ToolsScreen/ToolsScreen.tsx

@@ -11,8 +11,6 @@ export interface ToolsScreenProps {
   selectedTool?: ToolDetailPanelProps;
   result?: ToolResultPanelProps;
   listChanged: boolean;
-  searchText: string;
-  onSearchChange: (text: string) => void;
   onRefreshList: () => void;
   onSelectTool: (name: string) => void;
 }
@@ -51,8 +49,6 @@ export function ToolsScreen({
   selectedTool,
   result,
   listChanged,
-  searchText,
-  onSearchChange,
   onRefreshList,
   onSelectTool,
 }: ToolsScreenProps) {
@@ -63,8 +59,6 @@ export function ToolsScreen({
           <ToolControls
             tools={tools}
             listChanged={listChanged}
-            searchText={searchText}
-            onSearchChange={onSearchChange}
             onRefreshList={onRefreshList}
             onSelectTool={onSelectTool}
           />