feat(friends): always-visible Direct-Add row with resolved-form display

The Send-Friend-Request action row in the Add Friend tab previously
appeared only when the typed query contained a non-edge @, leaving
no way to fire a blind request for a bare local handle. Widen the
gate to allow non-empty bare handles, keep the malformed @ shapes
(@, @bob, bob@) hidden. When the typed query has no @, display the
resolved form <query>@<window.location.host> so the user sees which
instance the request will hit. Submission string is unchanged.

Updates FriendsPage.test.tsx: inverts the now-stale 'does not show
Direct Add row for plain usernames' test into the new positive
assertion, and adds a separate test for the malformed @ shapes.

packages/web/src/components/chat/FriendsPage.test.tsx

@@ -254,7 +254,7 @@ describe('FriendsPage', () => {
       });
     });
 
-    it('does not show Direct Add row for plain usernames', async () => {
+    it('shows Direct Add row with resolved-form display for plain usernames', async () => {
       const user = userEvent.setup();
       renderFriendsPage();
       await user.click(screen.getByText('Add Friend'));
@@ -262,6 +262,31 @@ describe('FriendsPage', () => {
       const input = screen.getByPlaceholderText(/Search or add by username/);
       await user.type(input, 'marc');
 
+      // Direct Add row appears with the resolved form `marc@<window.location.host>`.
+      // The exact host depends on jsdom (localhost:3000 by default), so match by prefix.
+      expect(screen.getByText(/Send friend request to/)).toBeInTheDocument();
+      expect(screen.getByText(new RegExp(`marc@${window.location.host.replace(/[.+?^${}()|[\]\\]/g, '\\$&')}`))).toBeInTheDocument();
+    });
+
+    it('does not show Direct Add row for malformed @ shapes', async () => {
+      const user = userEvent.setup();
+      renderFriendsPage();
+      await user.click(screen.getByText('Add Friend'));
+
+      const input = screen.getByPlaceholderText(/Search or add by username/);
+
+      // Lone @
+      await user.type(input, '@');
+      expect(screen.queryByText(/Send friend request to/)).not.toBeInTheDocument();
+      await user.clear(input);
+
+      // Leading @ — only domain, no baseName
+      await user.type(input, '@bob');
+      expect(screen.queryByText(/Send friend request to/)).not.toBeInTheDocument();
+      await user.clear(input);
+
+      // Trailing @ — only baseName, no domain
+      await user.type(input, 'bob@');
       expect(screen.queryByText(/Send friend request to/)).not.toBeInTheDocument();
     });
 

packages/web/src/components/chat/FriendsPage.tsx

@@ -462,9 +462,15 @@ function AddFriendTab({
       });
   }, [rawSearchResults, friends, requests, selfIds, isSearchMode]);
 
-  // Direct Add detection (synchronous, not debounced)
-  const atIndex = query.lastIndexOf('@');
-  const showDirectAdd = atIndex > 0 && atIndex < query.length - 1;
+  const trimmedQuery = query.trim();
+  const directAt = trimmedQuery.lastIndexOf('@');
+  const showDirectAdd = trimmedQuery.length > 0
+    && (directAt === -1 || (directAt > 0 && directAt < trimmedQuery.length - 1));
+  // Bare handle gets the home host appended for display only — submission
+  // still uses the raw trimmed query.
+  const directAddDisplay = trimmedQuery.includes('@')
+    ? trimmedQuery
+    : `${trimmedQuery}@${window.location.host}`;
 
   // Direct Add handler
   const handleDirectAdd = async () => {
@@ -552,7 +558,7 @@ function AddFriendTab({
               <path d="M15 12c2.21 0 4-1.79 4-4s-1.79-4-4-4-4 1.79-4 4 1.79 4 4 4zm-9-2V7H4v3H1v2h3v3h2v-3h3v-2H6zm9 4c-2.67 0-8 1.34-8 4v2h16v-2c0-2.66-5.33-4-8-4z" />
             </svg>
             <div className="flex-1 min-w-0 text-sm text-txt-secondary">
-              Send friend request to <span className="font-semibold text-txt-primary">{query.trim()}</span>
+              Send friend request to <span className="font-semibold text-txt-primary">{directAddDisplay}</span>
             </div>
             <button
               onClick={handleDirectAdd}