chore: update cloudflare-workers to new persist schema (#1014)

Author: NathanFlurry

docs/workers/actions.mdx renamed to docs/actors/actions.mdx

@@ -41,23 +41,16 @@ export const registry = setup({
 ```ts Hono
 import { registry } from "./registry";
 import { Hono } from "hono";
-import { serve } from "@hono/node-server";
-import { createNodeWebSocket } from '@hono/node-ws'
-
-// Setup server
-const app = new Hono();
 
 // Start RivetKit
 //
 // State is stored in memory, this can be configured later
-const { injectWebSocket, upgradeWebSocket } = createNodeWebSocket({ app })  // TODO: do this before app
-const { client, hono } = registry.run({
-	getUpgradeWebSocket: () => upgradeWebSocket,
-});
+const { client, serve } = registry.server();
 
-// Expose RivetKit to the frontend (optional)
-app.route("/registry", hono);
+// Setup server
+const app = new Hono();
 
+// Example endpoint
 app.post("/increment/:name", async (c) => {
 	const name = c.req.param("name");
 
@@ -68,12 +61,11 @@ app.post("/increment/:name", async (c) => {
 	return c.text(`New Count: ${newCount}`);
 });
 
-serve({ fetch: app.fetch, port: 8080 }, (x) =>
-	console.log("Listening at http://localhost:8080"),
-);
-injectWebSocket(server)
+// Start server
+serve(app);
 ```
 
+
 ```ts Express.js
 TODO
 ```
@@ -82,33 +74,6 @@ TODO
 TODO
 ```
 
-```ts Hono
-import { registry } from "./registry";
-import { Hono } from "hono";
-
-// Start RivetKit
-//
-// State is stored in memory, this can be configured later
-const { client, serve } = registry.server();
-
-// Setup server
-const app = new Hono();
-
-// Example endpoint
-app.post("/increment/:name", async (c) => {
-	const name = c.req.param("name");
-
-	// Communicate with actor
-	const counter = client.counter.getOrCreate(name);
-	const newCount = await counter.increment(1);
-
-	return c.text(`New Count: ${newCount}`);
-});
-
-// Start server
-serve(app);
-```
-
 TODO: How to serve without registry helper
 
 TODO: Why we need to use our own custom serve fn
@@ -165,7 +130,7 @@ curl -X POST localhost:8080/increment/foo
 
 <Tab title="Rivet">
 
-```json
+```json rivet.json
 {
   "rivetkit": {
     "registry": "src/registry.ts",