Port the Pokégear, phone calls and Mom's bank

POKéGEAR in the start menu runs the clock, Town Map and phone cards with
the original joypad rules. Calls to Elm and Mom run their callee scripts,
with the out-of-area and out-of-hours cases and HangUp's corrected timing.
Mom saves a quarter of trainer prizes once asked, talking to her at home
opens BankOfMom (GET, SAVE, CHANGE and the DST checks) with its digit
amount box, and MomTriesToBuySomething buys items and dolls with her
savings. Saves gain Mom's money, her next item and its trigger balance.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

tests/trainer-battle.test.ts

@@ -105,6 +105,23 @@ describe.skipIf(!existsSync(romPath))("trainer battles", () => {
     expect(result.prizeMoney).toBe(128);
     expect(result.texts).toContain("CHRIS got ¥128");
   });
+  it("sends a quarter of the prize to Mom while she saves some", () => {
+    const { mon, options } = setup();
+    mon.item = 0x5b;
+    const result = finish(new Battle({ ...options, mom: { saving: 1, money: 10 } }));
+    expect(result.prizeMoney).toBe(96);
+    expect(result.momMoney).toBe(32);
+    expect(result.texts).toContain("CHRIS got ¥128 for winning! Sent some to MOM!");
+    // A full account keeps the whole prize in the wallet.
+    const full = setup();
+    const kept = finish(
+      new Battle({ ...full.options, mom: { saving: 1, money: 999999 } }),
+    );
+    expect(kept.prizeMoney).toBe(64);
+    expect(kept.momMoney).toBeUndefined();
+    expect(kept.texts).toContain("CHRIS got ¥64 for winning!");
+    expect(kept.texts).not.toContain("MOM");
+  });
   it("scores exhausted trainer moves before the menu, then uses Struggle", () => {
     const { options } = setup();
     options.trainer!.party[0].pp.fill(0);