Move playwright stuff into its own directory

playwright-tests/playwright.config.js

@@ -12,7 +12,7 @@ const path = require("path");
  * @see https://playwright.dev/docs/test-configuration
  */
 module.exports = defineConfig({
-  testDir: "./playwright-tests",
+  testDir: ".",
   /* Run tests in files in parallel */
   fullyParallel: true,
   /* Fail the build on CI if you accidentally left test.only in the source code. */