fix: organize admin patches and profile menu layering

app/main.py

@@ -1620,11 +1620,21 @@ def admin_patches_page(request: Request):
             "icon": icon,
             "description": description,
             "image_path": assets.get(code),
+            "category": category,
         }
-        for code, name, icon, _threshold, description, _category in BADGE_DEFINITIONS
+        for code, name, icon, _threshold, description, category in BADGE_DEFINITIONS
+    ]
+    patch_groups = [
+        {
+            "code": category,
+            "label": label,
+            "patches": [patch for patch in patches if patch["category"] == category],
+        }
+        for category, label in BADGE_CATEGORY_LABELS.items()
+        if any(patch["category"] == category for patch in patches)
     ]
     template = templates.get_template("admin_patches.html")
-    return template.render(user=user, patches=patches)
+    return template.render(user=user, patch_groups=patch_groups)
 
 
 @app.get("/admin/statistics", response_class=HTMLResponse)
@@ -2479,15 +2489,6 @@ def render_profile(
         for code, name, icon, threshold, description, category in BADGE_DEFINITIONS
     ]
     badges.sort(key=lambda badge: badge["sort_key"])
-    badge_groups = [
-        {
-            "code": category,
-            "label": label,
-            "badges": [badge for badge in badges if badge["earned"] and badge["category"] == category],
-        }
-        for category, label in BADGE_CATEGORY_LABELS.items()
-        if any(badge["earned"] and badge["category"] == category for badge in badges)
-    ]
 
     template = templates.get_template("profile.html")
     return HTMLResponse(
@@ -2496,7 +2497,6 @@ def render_profile(
             profile=profile,
             attended_count=attendance_stats["total"],
             badges=badges,
-            badge_groups=badge_groups,
             is_own_profile=force_own or is_own_profile,
             can_view_details=can_view_details,
             friendship=friendship,