activity-sport-type: e2e test + register spec in playwright config

- e2e/activity-sport-type.test.ts: register → create activity with a sport →
  assert the sport badge renders on the detail page. Passes locally against an
  E2E=true server.
- playwright.config.ts: add the `activity-sport-type` project so the spec
  actually runs (specs only execute if a project testMatch matches them).

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>

e2e/activity-sport-type.test.ts

@@ -0,0 +1,29 @@
+import { test, expect, gotoHydrated } from "./fixtures/test";
+import { setupVirtualAuthenticator, registerUser } from "./helpers/auth";
+
+test.describe("Activity sport type", () => {
+  test("create an activity with a sport renders the sport badge", async ({ page }) => {
+    const cdp = await page.context().newCDPSession(page);
+    await setupVirtualAuthenticator(cdp);
+
+    const stamp = Date.now();
+    await registerUser(page, `sport-${stamp}@example.com`, `sport${stamp}`);
+
+    await gotoHydrated(page, "/activities/new");
+
+    // Name deliberately avoids the sport word so the badge assertion can't
+    // accidentally match the title.
+    await page.getByLabel("Name").fill("Saturday loop");
+    // exact: the nav avatar button's aria-label is the username ("sport…"),
+    // which a loose "Sport" match would also catch.
+    await page.getByLabel("Sport", { exact: true }).selectOption("gravel");
+    await page.getByRole("button", { name: "Create Activity" }).click();
+
+    // Redirects to the new activity's detail page.
+    await expect(page).toHaveURL(/\/activities\/[0-9a-f-]+$/, { timeout: 10000 });
+
+    // Title plus the localized sport badge ("Gravel").
+    await expect(page.getByRole("heading", { name: "Saturday loop" })).toBeVisible();
+    await expect(page.getByText("Gravel")).toBeVisible();
+  });
+});