Fix stale app UI (supabase) & overall E2E test infra improvements (#337)

Fixes #269

e2e-tests/supabase_stale_ui.spec.ts

@@ -0,0 +1,25 @@
+import { testSkipIfWindows } from "./helpers/test_helper";
+
+// https://github.com/dyad-sh/dyad/issues/269
+testSkipIfWindows("supabase - stale ui", async ({ po }) => {
+  await po.setUp();
+  await po.sendPrompt("tc=add-supabase");
+  await po.snapshotMessages();
+
+  await po.page.getByText("Set up supabase").click();
+  // On app details page:
+  await po.clickConnectSupabaseButton();
+  // TODO: for some reason on Windows this navigates to the main (apps) page,
+  // rather than the original chat page, so this test is skipped on Windows.
+  // However, the underlying issue is platform-agnostic, so it seems OK to test
+  // only on Mac.
+  await po.clickBackButton();
+
+  // On chat page:
+  await po.snapshotMessages();
+
+  // Create a second app; do NOT integrate it with Supabase, and make sure UI is correct.
+  await po.goToAppsTab();
+  await po.sendPrompt("tc=add-supabase");
+  await po.snapshotMessages();
+});