Set up browser integration when choosing Claude

test/shell.d/unowned-system-paths-test.sh

@@ -31,10 +31,13 @@ allowed = {
   # them so the hook does not exist where it does not apply.
   "/usr/lib/systemd/system-sleep",
   # Written through a variable, so the scan below cannot see them at the point
-  # they are written. Both drop configuration into another project's tree rather
-  # than Omarchy's, which is why neither is a candidate for omarchy-settings.
+  # they are written. These drop configuration into another project's tree
+  # rather than Omarchy's and are not candidates for omarchy-settings.
   "/usr/share/chromium/extensions",
   "/usr/lib/firefox/distribution",
+  # Claude's extension is registered only when the user selects Claude.
+  "/usr/share/google-chrome/extensions",
+  "/usr/share/microsoft-edge/extensions",
   # Static content that belongs in omarchy-settings. It cannot move there in the
   # same release that first ships omarchy-update-system-pkgs-when-conflicted: the
   # upgrade carrying the handler is the one that would hit the conflict, and the