feat: add support chat widget demo and state management

- Implemented SupportWidgetDemo component for configuring and mounting the support chat widget.
- Introduced Zustand store for managing support chat state, including message handling and socket connection.
- Created support host bridge for communication between the widget and parent window.
- Added utility functions for JWT token generation and local storage management.
- Enhanced user experience with notifications for new messages and chat status updates.

web/components/support-chat/demo-navigation.test.mjs

@@ -0,0 +1,29 @@
+import assert from "node:assert/strict"
+import test from "node:test"
+import ts from "typescript"
+import { readFile } from "node:fs/promises"
+import vm from "node:vm"
+
+async function loadDemoNavigation() {
+  const source = await readFile(new URL("./demo-navigation.ts", import.meta.url), "utf8")
+  const compiled = ts.transpileModule(source, {
+    compilerOptions: {
+      target: ts.ScriptTarget.ES2017,
+      module: ts.ModuleKind.CommonJS,
+    },
+    fileName: "demo-navigation.ts",
+  })
+  const sandbox = {
+    exports: {},
+    module: { exports: {} },
+  }
+  sandbox.exports = sandbox.module.exports
+  vm.runInNewContext(compiled.outputText, sandbox)
+  return sandbox.module.exports
+}
+
+test("widget demo lives below support so /support remains available", async () => {
+  const { getWidgetDemoPath } = await loadDemoNavigation()
+
+  assert.equal(getWidgetDemoPath(), "/support/demo")
+})