chore: remove unused /api dir (#26415)

src/pages/api/hello.ts

@@ -1,10 +0,0 @@
-// Next.js API route support: https://nextjs.org/docs/api-routes/introduction
-import type { NextApiRequest, NextApiResponse } from 'next';
-
-type Data = {
-  name: string;
-};
-
-export default function handler(req: NextApiRequest, res: NextApiResponse<Data>) {
-  res.status(200).json({ name: 'John Doe' });
-}