Apps index access column + summary + admin access checker

The Applications index used to render "All users" whenever an app had
no allowed_groups; under default-deny that's the opposite of the truth.
Replaced with a "No one" badge and, when groups are present, a
"N users · M groups" cell so the access reality is visible at a glance.

Added a small stats strip above the apps table: applications, users
with access, and groups granting access. Backed by preloaded counts in
the controller to avoid N+1.

Added /admin/access — a small "Access check" tool that takes a user
and an application and reports whether the user can reach it, with the
granting group(s) when allowed, and the specific reason when not
(inactive app/user, no allowed groups, or no shared group). Wired into
the admin sidebar.

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>

app/controllers/admin/access_checks_controller.rb

@@ -0,0 +1,25 @@
+module Admin
+  class AccessChecksController < BaseController
+    def new
+      load_options
+    end
+
+    def create
+      load_options
+      @user = User.find_by(id: params[:user_id])
+      @application = Application.find_by(id: params[:application_id])
+      return render :new unless @user && @application
+
+      @allowed = @application.user_allowed?(@user)
+      @via = @user.groups & @application.allowed_groups
+      render :new
+    end
+
+    private
+
+    def load_options
+      @users = User.order(:email_address)
+      @applications = Application.order(:name)
+    end
+  end
+end

app/controllers/admin/applications_controller.rb

@@ -3,7 +3,21 @@ module Admin
     before_action :set_application, only: [:show, :edit, :update, :destroy, :regenerate_credentials]
 
     def index
-      @applications = Application.order(created_at: :desc)
+      @applications = Application.order(created_at: :desc).includes(:allowed_groups)
+
+      # Distinct active users that have access to each app, preloaded to avoid N+1.
+      @user_count_by_app = User.where(status: User.statuses[:active])
+        .joins(groups: :applications)
+        .group("applications.id")
+        .distinct
+        .count("users.id")
+
+      # Top-of-page summary
+      @total_users_with_access = User.where(status: User.statuses[:active])
+        .joins(groups: :applications)
+        .distinct
+        .count("users.id")
+      @total_groups_granting_access = Group.joins(:applications).distinct.count
     end
 
     def show