chore: use composite builds for tests (#8522)

.eslintignore

@@ -1,16 +1,8 @@
-test/assets/modernizr.js
-third_party/*
-utils/doclint/check_public_api/test/
-node6/*
-node6-test/*
-experimental/
+assets/
+build/
+coverage/
+doclint/
 lib/
-/index.d.ts
-# We ignore this file because it uses ES imports which we don't yet use
-# in the Puppeteer src, so it trips up the ESLint-TypeScript parser.
-utils/doclint/generate_types/test/test.ts
-vendor/
-web-test-runner.config.mjs
 test-ts-types/
-website/
-docs-dist/
+tsconfig.tsbuildinfo
+vendor/