Filter Repositories by type (#29231)

Filter Repositories by type (resolves #1170, #1318)

before:

![image](https://github.com/go-gitea/gitea/assets/72873130/74e6be62-9010-4ab4-8f9b-bd8afbebb8fb)


after:

![image](https://github.com/go-gitea/gitea/assets/72873130/e4d85ed6-7864-4150-8d72-5194dac1293f)

web_src/js/features/repo-search.js

@@ -0,0 +1,22 @@
+export function initRepositorySearch() {
+  const repositorySearchForm = document.querySelector('#repo-search-form');
+  if (!repositorySearchForm) return;
+
+  repositorySearchForm.addEventListener('change', (e) => {
+    e.preventDefault();
+
+    const formData = new FormData(repositorySearchForm);
+    const params = new URLSearchParams(formData);
+
+    if (e.target.name === 'clear-filter') {
+      params.delete('archived');
+      params.delete('fork');
+      params.delete('mirror');
+      params.delete('template');
+      params.delete('private');
+    }
+
+    params.delete('clear-filter');
+    window.location.search = params.toString();
+  });
+}