Promote AgentCompany-New to the repository root and retire the old app

The legacy application - its src, tests, landing site, promo assets, docs,
release tooling, CI workflows, and root configs - leaves the tree; it stays
reachable in history. Everything under AgentCompany-New moves up unchanged:
same package name, so the production userData/database path is untouched,
and e2e/build scripts already resolved paths relative to the project. The
developer cred.txt stays gitignored at its new location. Full verify:ci
passes from the new root.

tests/unit/coalesce.test.ts

@@ -0,0 +1,49 @@
+import { afterEach, beforeEach, describe, expect, test, vi } from "vitest";
+import { coalesce } from "../../src/main/app/coalesce";
+
+describe("coalesce", () => {
+  beforeEach(() => {
+    vi.useFakeTimers();
+  });
+
+  afterEach(() => {
+    vi.useRealTimers();
+  });
+
+  test("collapses a burst into one trailing call", () => {
+    const calls: number[] = [];
+    const notify = coalesce(() => calls.push(Date.now()), 200);
+    notify();
+    notify();
+    notify();
+    expect(calls).toHaveLength(0);
+    vi.advanceTimersByTime(199);
+    expect(calls).toHaveLength(0);
+    vi.advanceTimersByTime(1);
+    expect(calls).toHaveLength(1);
+  });
+
+  test("fires again for events after the window closes", () => {
+    let count = 0;
+    const notify = coalesce(() => { count += 1; }, 200);
+    notify();
+    vi.advanceTimersByTime(200);
+    expect(count).toBe(1);
+    notify();
+    notify();
+    vi.advanceTimersByTime(200);
+    expect(count).toBe(2);
+  });
+
+  test("an event during the pending window is covered by the trailing call", () => {
+    let count = 0;
+    const notify = coalesce(() => { count += 1; }, 200);
+    notify();
+    vi.advanceTimersByTime(100);
+    notify();
+    vi.advanceTimersByTime(100);
+    expect(count).toBe(1);
+    vi.advanceTimersByTime(200);
+    expect(count).toBe(1);
+  });
+});