docs(backend_api): generate frontend script API as well

src/public/app/services/frontend_script_entrypoint.ts

@@ -0,0 +1,20 @@
+/**
+ * The front script API is accessible to code notes with the "JS (frontend)" language.
+ *
+ * All the variables listed are globally accessible to the script.
+ *
+ * @module Frontend Script API
+ */
+
+/**
+ * This file creates the entrypoint for TypeDoc that simulates the context from within a
+ * script note.
+ *
+ * Make sure to keep in line with frontend's `script_context.ts`.
+ */
+
+import FrontendScriptApi, { type Api } from "./frontend_script_api.js";
+export type { Api } from "./frontend_script_api.js";
+
+//@ts-expect-error
+export const api: Api = new FrontendScriptApi();