fix: workspace isolation, session filtering, and clean migration path

Three interrelated fixes:

1. api/workspace.py — clean workspace isolation with auto-migration
   _clean_workspace_list(): sanitizes any workspace list by:
   - Removing test artifacts (webui-mvp-test, test-workspace paths)
   - Removing paths that no longer exist on disk
   - Removing cross-profile leaks (paths under ~/.hermes/profiles/*)
   - Renaming 'default' workspace label to 'Home' (avoids confusion
     with the 'default' profile name)

   _migrate_global_workspaces(): one-time migration for upgrading users.
   Reads the legacy global workspaces.json, runs _clean_workspace_list,
   rewrites it cleaned. This runs automatically on first load after upgrade
   for the default profile only.

   load_workspaces(): now cleans every read and persists cleaned version
   if anything changed. Named profiles always start fresh (no global leak).
   Empty results fall back to 'Home' entry pointing at profile's workspace.
   Default label for auto-generated single-entry lists is 'Home', not 'default'.

2. api/models.py — legacy session profile backfill (already committed,
   this commit adds the sessions.js filter tightening counterpart)

3. static/sessions.js — strict profile filter
   Removed the '!s.profile' escape hatch from the profile filter.
   Server now backfills profile='default' on legacy sessions, so every
   session has an explicit tag. Filter is now exact:
     s.profile === S.activeProfile
   Named profiles see zero legacy clutter. Default profile sees its own
   sessions. 'All profiles' toggle still shows everything.

Migration story for users pulling this update:
- Existing sessions (profile=null) -> attributed to 'default' at read time
- Global workspaces.json -> cleaned of test artifacts and cross-profile paths
  on first server start after upgrade
- Named profile workspace files -> cleaned on first read, persisted clean
- No manual intervention needed

Tests: 426 passed, 0 failed.

api/workspace.py

@@ -85,26 +85,94 @@ def _profile_default_workspace() -> str:
 
 # ── Public API ──────────────────────────────────────────────────────────────
 
+def _clean_workspace_list(workspaces: list) -> list:
+    """Sanitize a workspace list:
+    - Remove entries whose paths no longer exist on disk.
+    - Remove entries that look like test artifacts (webui-mvp-test, test-workspace).
+    - Remove entries whose paths live inside another profile's directory
+      (e.g. ~/.hermes/profiles/X/... should not appear on a different profile).
+    - Rename any entry whose name is literally 'default' to 'Home' (avoids
+      confusion with the 'default' profile name).
+    Returns the cleaned list (may be empty).
+    """
+    hermes_profiles = (Path.home() / '.hermes' / 'profiles').resolve()
+    result = []
+    for w in workspaces:
+        path = w.get('path', '')
+        name = w.get('name', '')
+        p = Path(path).resolve() if path else Path('/')
+        # Skip test artifacts
+        if 'test-workspace' in path or 'webui-mvp-test' in path:
+            continue
+        # Skip paths that no longer exist
+        if not p.is_dir():
+            continue
+        # Skip paths inside a named profile's directory (cross-profile leak)
+        try:
+            p.relative_to(hermes_profiles)
+            continue  # it IS under profiles/ — remove it
+        except ValueError:
+            pass
+        # Rename confusing 'default' label to 'Home'
+        if name.lower() == 'default':
+            name = 'Home'
+        result.append({'path': str(p), 'name': name})
+    return result
+
+
+def _migrate_global_workspaces() -> list:
+    """Read the legacy global workspaces.json, clean it, and return the result.
+
+    This is the migration path for users upgrading from a pre-profile version:
+    their global file may contain cross-profile entries, test artifacts, and
+    stale paths accumulated over time.  We clean it in-place and rewrite it.
+    """
+    if not _GLOBAL_WS_FILE.exists():
+        return []
+    try:
+        raw = json.loads(_GLOBAL_WS_FILE.read_text(encoding='utf-8'))
+        cleaned = _clean_workspace_list(raw)
+        if len(cleaned) != len(raw):
+            # Rewrite the cleaned version so future reads are already clean
+            _GLOBAL_WS_FILE.write_text(
+                json.dumps(cleaned, ensure_ascii=False, indent=2), encoding='utf-8'
+            )
+        return cleaned
+    except Exception:
+        return []
+
+
 def load_workspaces() -> list:
     ws_file = _workspaces_file()
     if ws_file.exists():
         try:
-            return json.loads(ws_file.read_text(encoding='utf-8'))
+            raw = json.loads(ws_file.read_text(encoding='utf-8'))
+            cleaned = _clean_workspace_list(raw)
+            if len(cleaned) != len(raw):
+                # Persist the cleaned version so stale entries don't keep reappearing
+                try:
+                    ws_file.write_text(
+                        json.dumps(cleaned, ensure_ascii=False, indent=2), encoding='utf-8'
+                    )
+                except Exception:
+                    pass
+            return cleaned or [{'path': _profile_default_workspace(), 'name': 'Home'}]
         except Exception:
             pass
-    # Fallback: for the DEFAULT profile only, migrate from the legacy global file.
-    # Named profiles should start with a clean list, not inherit another profile's workspaces.
+    # No profile-local file yet.
+    # For the DEFAULT profile: migrate from the legacy global file (one-time cleanup).
+    # For NAMED profiles: always start clean with just their own workspace.
     try:
         from api.profiles import get_active_profile_name
         is_default = get_active_profile_name() in ('default', None)
     except ImportError:
         is_default = True
-    if is_default and _GLOBAL_WS_FILE.exists():
-        try:
-            return json.loads(_GLOBAL_WS_FILE.read_text(encoding='utf-8'))
-        except Exception:
-            pass
-    return [{'path': _profile_default_workspace(), 'name': 'default'}]
+    if is_default:
+        migrated = _migrate_global_workspaces()
+        if migrated:
+            return migrated
+    # Fresh start: single entry from the profile's configured workspace, labeled "Home"
+    return [{'path': _profile_default_workspace(), 'name': 'Home'}]
 
 
 def save_workspaces(workspaces: list):