Never use /api/v1 from Gitea UI Pages (#19318)

Reusing `/api/v1` from Gitea UI Pages have pros and cons.
Pros:
1) Less code copy

Cons:
1) API/v1 have to support shared session with page requests.
2) You need to consider for each other when you want to change something about api/v1 or page.

This PR moves all dependencies to API/v1 from UI Pages.

Partially replace #16052

web_src/js/features/org-team.js

@@ -20,7 +20,7 @@ export function initOrgTeamSearchRepoBox() {
   $searchRepoBox.search({
     minCharacters: 2,
     apiSettings: {
-      url: `${appSubUrl}/api/v1/repos/search?q={query}&uid=${$searchRepoBox.data('uid')}`,
+      url: `${appSubUrl}/repo/search?q={query}&uid=${$searchRepoBox.data('uid')}`,
       onResponse(response) {
         const items = [];
         $.each(response.data, (_i, item) => {