build(api): setup Hono base route handler

src/app/api/[[...route]]/route.ts

@@ -1,10 +1,17 @@
 import { Hono } from "hono";
 import { handle } from "hono/vercel";
+import auth from "@/features/auth/server/route";
 
 const app = new Hono().basePath("/api");
 
-app.get("/health", (context) => {
-  return context.json({ status: "ok" });
+app.get("/health", (c) => {
+  return c.json({ status: "ok" });
 });
 
+// eslint-disable-next-line @typescript-eslint/no-unused-vars
+const routes = app.route("/auth", auth);
+
 export const GET = handle(app);
+export const POST = handle(app);
+
+export type AppType = typeof routes;