Show total count lints (rust-lang#14901)

Suppose it might be interesting to see up to date total number of lints
something like this

<img width="1276" alt="Screenshot 2025-05-26 at 21 35 46"
src="https://github.com/user-attachments/assets/66c67eb4-f4c6-44ae-9bf4-284a4c4da3e0"
/>
changelog: none

Author: samueltardieu

util/gh-pages/index_template.html

@@ -50,7 +50,7 @@
 
     <div class="container"> {# #}
         <div class="page-header"> {# #}
-            <h1>Clippy Lints</h1> {# #}
+            <h1>Clippy Lints <span id="lint-count" class="badge"></span></h1> {# #}
         </div> {# #}
 
         <noscript> {# #}

util/gh-pages/script.js

@@ -71,6 +71,7 @@ window.searchState = {
         } else {
             window.location.hash = '';
         }
+        updateLintCount();
     },
 };
 
@@ -598,3 +599,14 @@ generateSearch();
 parseURLFilters();
 scrollToLintByURL();
 filters.filterLints();
+updateLintCount();
+
+function updateLintCount() {
+    const allLints = filters.getAllLints();
+    const totalLints = allLints.length;
+    
+    const countElement = document.getElementById("lint-count");
+    if (countElement) {
+        countElement.innerText = `Total number: ${totalLints}`;
+    }
+}