Update PostHog API host and rewrite paths for proxy integration

instrumentation-client.ts

@@ -1,7 +1,7 @@
 import posthog from "posthog-js";
 
 posthog.init(process.env.NEXT_PUBLIC_POSTHOG_KEY as string, {
-  api_host: "/_ingest",
+  api_host: "/_proxy/ingest",
   ui_host: "https://us.posthog.com",
   defaults: "2025-05-24",
   capture_exceptions: true, // This enables capturing exceptions using Error Tracking, set to false if you don't want this

next.config.ts

@@ -23,11 +23,11 @@ const nextConfig: NextConfig = {
   rewrites: async () => {
     return [
       {
-        source: "/_ingest/static/:path*",
+        source: "/_proxy/ingest/static/:path*",
         destination: "https://us-assets.i.posthog.com/static/:path*",
       },
       {
-        source: "/_ingest/:path*",
+        source: "/_proxy/ingest/:path*",
         destination: "https://us.i.posthog.com/:path*",
       },
     ];