local-dev: rebuild dead sandbox + harden lobby card UX

Three fixes around the dev sandbox end-to-end path. Each one was
flushed out by an actual login walkthrough after the previous
commit.

Backend bootstrap now treats `cancelled`, `finished`, and
`start_failed` as terminal: the per-boot find-or-create skips such
games and provisions a fresh one. Without this, a single bad
shutdown cascade leaves the developer staring at a dead lobby tile
forever (cancelled games don't transition back). Covered by
TestTerminalSandboxStatus.

Tools/local-dev: stop killing engine containers in `make down`. The
runtime treats the disappearance of an engine as a real failure
(cascading the lobby game to `cancelled`); leaving the container
running across `down/up` lets the runtime reconciler re-attach on
the next boot. The teardown happens only in `make clean`, where the
DB is wiped anyway. Compose now also exposes :9090 (authenticated
EdgeGateway listener) on the host so the Vite dev proxy can reach
the Connect-Web surface, and bumps the gateway anti-abuse limits
for `public_misc` so the same surface is not blanket-rejected with
413.

Ui/frontend: the lobby's `My Games` cards are now clickable only
for the playable statuses (`running`, `paused`, `finished`). All
other statuses render as disabled buttons so a click on a draft or
cancelled game no longer drops the user on a 404 — the in-game
view at /games/:id/* doesn't exist before Phase 10 and never makes
sense for a cancelled game. Vite proxy splits the dev targets so
`/api/*` continues to talk to the REST listener and
`/galaxy.gateway.v1.EdgeGateway/*` is routed to the Connect-Web
listener via VITE_DEV_GRPC_PROXY_TARGET (defaults to :9090).

Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>

ui/frontend/tests/lobby-page.test.ts

@@ -339,6 +339,41 @@ describe("lobby page", () => {
 		});
 	});
 
+	test("my-game cards are clickable for running/paused/finished and disabled otherwise", async () => {
+		// Cover the live-able statuses (running, paused, finished) and a
+		// representative non-playable mix (cancelled is the post-shutdown
+		// terminal state developers see most often; draft is the lobby-
+		// internal state before any membership exists).
+		listMyGamesSpy.mockResolvedValue([
+			makeGame("g-running", "Live", "running"),
+			makeGame("g-paused", "Paused Run", "paused"),
+			makeGame("g-finished", "Closed Run", "finished"),
+			makeGame("g-cancelled", "Cancelled Run", "cancelled"),
+			makeGame("g-draft", "Draft Run", "draft"),
+		]);
+		listPublicGamesSpy.mockResolvedValue({ items: [], page: 1, pageSize: 50, total: 0 });
+		listMyInvitesSpy.mockResolvedValue([]);
+		listMyApplicationsSpy.mockResolvedValue([]);
+
+		const Page = (await importLobbyPage()).default;
+		const ui = render(Page);
+
+		await waitFor(() => {
+			expect(ui.getAllByTestId("lobby-my-game-card").length).toBe(5);
+		});
+		const cards = ui.getAllByTestId("lobby-my-game-card");
+		const disabledByLabel: Record<string, boolean> = {};
+		for (const card of cards) {
+			const label = card.querySelector("strong")?.textContent ?? "";
+			disabledByLabel[label] = (card as HTMLButtonElement).disabled;
+		}
+		expect(disabledByLabel["Live"]).toBe(false);
+		expect(disabledByLabel["Paused Run"]).toBe(false);
+		expect(disabledByLabel["Closed Run"]).toBe(false);
+		expect(disabledByLabel["Cancelled Run"]).toBe(true);
+		expect(disabledByLabel["Draft Run"]).toBe(true);
+	});
+
 	test("application status badges localise pending and approved states", async () => {
 		listMyGamesSpy.mockResolvedValue([]);
 		listPublicGamesSpy.mockResolvedValue({ items: [], page: 1, pageSize: 50, total: 0 });