Feature/v2/fuzzy tool search (#4482)

# Description of Changes

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- What was changed
- Why the change was made
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Closes #(issue_number)
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## Checklist

### General

- [x] I have read the [Contribution
Guidelines](https://github.com/Stirling-Tools/Stirling-PDF/blob/main/CONTRIBUTING.md)
- [x] I have read the [Stirling-PDF Developer
Guide](https://github.com/Stirling-Tools/Stirling-PDF/blob/main/devGuide/DeveloperGuide.md)
(if applicable)
- [x] I have read the [How to add new languages to
Stirling-PDF](https://github.com/Stirling-Tools/Stirling-PDF/blob/main/devGuide/HowToAddNewLanguage.md)
(if applicable)
- [x] I have performed a self-review of my own code
- [x] My changes generate no new warnings

### Documentation

- [ ] I have updated relevant docs on [Stirling-PDF's doc
repo](https://github.com/Stirling-Tools/Stirling-Tools.github.io/blob/main/docs/)
(if functionality has heavily changed)
- [ ] I have read the section [Add New Translation
Tags](https://github.com/Stirling-Tools/Stirling-PDF/blob/main/devGuide/HowToAddNewLanguage.md#add-new-translation-tags)
(for new translation tags only)

### UI Changes (if applicable)

- [ ] Screenshots or videos demonstrating the UI changes are attached
(e.g., as comments or direct attachments in the PR)

### Testing (if applicable)

- [ ] I have tested my changes locally. Refer to the [Testing
Guide](https://github.com/Stirling-Tools/Stirling-PDF/blob/main/devGuide/DeveloperGuide.md#6-testing)
for more details.

frontend/src/contexts/ToolWorkflowContext.tsx

@@ -11,6 +11,7 @@ import { useNavigationActions, useNavigationState } from './NavigationContext';
 import { ToolId, isValidToolId } from '../types/toolId';
 import { useNavigationUrlSync } from '../hooks/useUrlSync';
 import { getDefaultWorkbench } from '../types/workbench';
+import { filterToolRegistryByQuery } from '../utils/toolSearch';
 
 // State interface
 interface ToolWorkflowState {
@@ -100,7 +101,7 @@ interface ToolWorkflowContextValue extends ToolWorkflowState {
   handleReaderToggle: () => void;
 
   // Computed values
-  filteredTools: [string, ToolRegistryEntry][]; // Filtered by search
+  filteredTools: Array<{ item: [string, ToolRegistryEntry]; matchedText?: string }>; // Filtered by search
   isPanelVisible: boolean;
 }
 
@@ -219,12 +220,10 @@ export function ToolWorkflowProvider({ children }: ToolWorkflowProviderProps) {
     setReaderMode(true);
   }, [setReaderMode]);
 
-  // Filter tools based on search query
+  // Filter tools based on search query with fuzzy matching (name, description, id, synonyms)
   const filteredTools = useMemo(() => {
     if (!toolRegistry) return [];
-    return Object.entries(toolRegistry).filter(([_, { name }]) =>
-      name.toLowerCase().includes(state.searchQuery.toLowerCase())
-    );
+    return filterToolRegistryByQuery(toolRegistry as Record<string, ToolRegistryEntry>, state.searchQuery);
   }, [toolRegistry, state.searchQuery]);
 
   const isPanelVisible = useMemo(() =>