test(mcp-inspector): add connection persistence test script

- Create test script to verify WebSocket connections persist across requests

- Test multiple sequential MCP requests using the same inspector URL

- Demonstrate that connections are maintained in the worker thread

packages/bun-inspector-mcp/test-persistence.ts

@@ -0,0 +1,94 @@
+import { createMcpHonoHttpStreamServer } from "./mcp";
+
+// Create the server
+const app = createMcpHonoHttpStreamServer();
+
+// Start server on a test port
+const port = 3333;
+console.log(`Starting test server on port ${port}...`);
+
+// Simulate multiple requests to test connection persistence
+async function testPersistence() {
+  console.log("\n=== Testing Connection Persistence ===\n");
+  
+  // First request - register inspector
+  console.log("Request 1: Registering inspector...");
+  const response1 = await fetch(`http://localhost:${port}/mcp`, {
+    method: "POST",
+    headers: { "Content-Type": "application/json" },
+    body: JSON.stringify({
+      jsonrpc: "2.0",
+      method: "tools/call",
+      params: {
+        name: "registerInspector",
+        arguments: {
+          url: "ws://localhost:9229"
+        }
+      },
+      id: 1
+    })
+  });
+  console.log("Response 1:", await response1.text());
+  
+  // Wait a bit
+  await new Promise(resolve => setTimeout(resolve, 1000));
+  
+  // Second request - evaluate expression
+  console.log("\nRequest 2: Evaluating expression...");
+  const response2 = await fetch(`http://localhost:${port}/mcp`, {
+    method: "POST", 
+    headers: { "Content-Type": "application/json" },
+    body: JSON.stringify({
+      jsonrpc: "2.0",
+      method: "tools/call",
+      params: {
+        name: "Runtime.evaluate",
+        arguments: {
+          url: "ws://localhost:9229",
+          expression: "1 + 1"
+        }
+      },
+      id: 2
+    })
+  });
+  console.log("Response 2:", await response2.text());
+  
+  // Third request - check if connection is still alive
+  console.log("\nRequest 3: Evaluating another expression...");
+  const response3 = await fetch(`http://localhost:${port}/mcp`, {
+    method: "POST",
+    headers: { "Content-Type": "application/json" },
+    body: JSON.stringify({
+      jsonrpc: "2.0",
+      method: "tools/call",
+      params: {
+        name: "Runtime.evaluate",
+        arguments: {
+          url: "ws://localhost:9229",
+          expression: "process.version"
+        }
+      },
+      id: 3
+    })
+  });
+  console.log("Response 3:", await response3.text());
+  
+  console.log("\n=== Test Complete ===");
+  console.log("If you see responses for all 3 requests, the connection was persisted!");
+}
+
+// Start the server
+const server = Bun.serve({
+  port,
+  fetch: app.fetch
+});
+
+// Run the test after server starts
+setTimeout(testPersistence, 1000);
+
+// Keep the process alive
+process.on("SIGINT", () => {
+  console.log("\nShutting down...");
+  server.stop();
+  process.exit(0);
+});