Implement editing of the schedule

Cobbled together minimum viable system for editing the schedule in a way
that propogates updates to connected clients.

app/schedule/page.tsx

@@ -4,6 +4,7 @@ import { readFile } from "fs/promises"
 import { ScheduleProvider } from "./context"
 import { Events } from "@/ui/events";
 import { Locations } from "@/ui/locations";
+import { EventsEdit } from "@/ui/events-edit";
 
 export default async function page() {
 	const schedule: Schedule = JSON.parse(await readFile("schedule.json", "utf-8"));
@@ -16,6 +17,7 @@ export default async function page() {
 				</p>
 				<h2>Schedule</h2>
 				<Timetable />
+				<EventsEdit />
 				<h2>Events</h2>
 				<Events />
 				<h2>Locations</h2>