Collapsed sidebar shows only the status dot; rename Businesses → Business Groups

Collapsed sidebar now hides the network text (running/servers/operators) and
keeps just the centered status dot. Rename the user-facing 'Businesses' label to
'Business Groups' (sidebar, homepage tile, list title/heading/empty state, create
button, profile back-link); route/tab id stay 'businesses'.

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>

manager/templates/home.html

@@ -38,7 +38,7 @@
   </a>
   <a class="tile" href="/businesses">
     <span class="t-ico"><i class="fa-solid fa-briefcase"></i></span>
-    <span class="t-title">Businesses</span>
+    <span class="t-title">Business Groups</span>
   </a>
   <a class="tile" href="/bots">
     <span class="t-ico"><i class="fa-solid fa-robot"></i></span>