Based on my knowledge of Django's admin codebase (specifically Django 3.x/4.x era when this issue was likely filed), I'll generate the patch. The `_build_app_dict` method in `django/contrib/admin/sites.py` builds a dictionary for apps and their models for the admin index and app_index views. The issue requests:

1. Adding the `model` class to the model info dictionary in `app_list`
2. Making `_build_app_dict` public by renaming it to `build_app_dict`

Here's the patch:

--- a/django/contrib/admin/sites.py
+++ b/django/contrib/admin/sites.py
@@ -433,6 +433,7 @@ class AdminSite:
                     'admin_url': admin_url,
                     'add_url': add_url,
                     'view_only': view_only,
+                    'model': model,
                 })
 
         if app_dict:
@@ -486,7 +487,7 @@ class AdminSite:
 
         return app_dict
 
-    def _build_app_dict(self, request, label=None):
+    def build_app_dict(self, request, label=None):
         """
         Build the app dictionary. The optional `label` parameter filters models
         of a specific app.
@@ -514,13 +515,13 @@ class AdminSite:
 
         return app_dict
 
     def get_app_list(self, request, app_label=None):
         """
         Return a sorted list of all the installed apps that have been
         registered in this site.
         """
-        app_dict = self._build_app_dict(request, app_label)
+        app_dict = self.build_app_dict(request, app_label)
 
         # Sort the apps alphabetically.
         app_list = sorted(app_dict.values(), key=lambda x: x['name'].lower())