Remove formatPathForDisplay function completely

- Delete formatPathForDisplay function from path-utils.ts
- Update all components to use displayWorkingDir from server
- Clean up imports in affected components
- Add refactoring philosophy note to CLAUDE.md

web/CLAUDE.md

@@ -52,4 +52,9 @@ NEVER give a code reference or location in any other format.
 
 ## CRITICAL
 **IMPORTANT**: BEFORE YOU DO ANYTHING, READ spec.md IN FULL USING THE READ TOOL!
-**IMPORTANT**: NEVER USE GREP. ALWAYS USE RIPGREP!
+**IMPORTANT**: NEVER USE GREP. ALWAYS USE RIPGREP!
+
+## Refactoring Philosophy
+- We do not care about deprecation - remove old code completely
+- Always prefer clean refactoring over gradual migration
+- Delete unused functions and code paths immediately

web/src/client/components/clickable-path.ts

@@ -10,7 +10,7 @@
 import { html, LitElement } from 'lit';
 import { customElement, property } from 'lit/decorators.js';
 import { createLogger } from '../utils/logger.js';
-import { copyToClipboard, formatPathForDisplay } from '../utils/path-utils.js';
+import { copyToClipboard } from '../utils/path-utils.js';
 import './copy-icon.js';
 
 const logger = createLogger('clickable-path');
@@ -65,7 +65,7 @@ export class ClickablePath extends LitElement {
   render() {
     if (!this.path) return html``;
 
-    const displayText = this.displayPath || formatPathForDisplay(this.path);
+    const displayText = this.displayPath || this.path;
 
     return html`
       <div

web/src/client/components/session-list.ts

@@ -23,7 +23,6 @@ import type { Session } from '../../shared/types.js';
 import type { AuthClient } from '../services/auth-client.js';
 import './session-card.js';
 import { createLogger } from '../utils/logger.js';
-import { formatPathForDisplay } from '../utils/path-utils.js';
 
 const logger = createLogger('session-list');
 
@@ -294,7 +293,7 @@ export class SessionList extends LitElement {
                                 }
                               </div>
                               <div class="text-xs text-dark-text-muted truncate">
-                                ${formatPathForDisplay(session.workingDir)}
+                                ${session.displayWorkingDir || session.workingDir}
                               </div>
                             </div>
                             <div class="flex items-center gap-2 flex-shrink-0">

web/src/client/utils/path-utils.ts

@@ -1,23 +1,7 @@
 /**
- * Path utilities for formatting and displaying paths
+ * Path utilities for clipboard operations
  */
 
-/**
- * Format a file path for display by replacing the home directory with ~
- *
- * NOTE: This function is deprecated and only used as a fallback.
- * The server now provides pre-formatted paths via the displayWorkingDir field.
- *
- * @param path The absolute path to format
- * @returns The formatted path (no transformation applied)
- * @deprecated Use displayWorkingDir from server response instead
- */
-export function formatPathForDisplay(path: string): string {
-  // Client-side cannot reliably detect the home directory
-  // Return the path as-is; server should provide formatted paths
-  return path;
-}
-
 /**
  * Copy text to clipboard with fallback for older browsers
  * @param text The text to copy