Improve e2e and GitHub Actions caching

[jaredpalmer]

• Bump all of GitHub Actions to v3 like checkout and setup node etc.
• Switch to using Node 18.x LTS in all CI
• Fix e2e test app react hydration error by using a ref for the render counter
• Fix up Playwright tests to use .locator().blur()
• Change the start:app script to no longer link react package
• Clean up build scripts to only build packages when needed (not the docs)

In another PR, we will upgrade formik to use React 18.x and bump @testing-library/react and the e2e test to use App Router

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Latest commit: 9d0ea4c

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1 Ignored Deployment

Name	Status	Preview	Comments	Updated (UTC)
formik-docs	⬜️ Ignored (Inspect)	Visit Preview		May 28, 2023 10:14pm

[codesandbox-ci]

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To see build info of the built libraries, click here or the icon next to each commit SHA.

Latest deployment of this branch, based on commit 9d0ea4c:

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[github-actions]

Size Change: 0 B

Total Size: 40.5 kB

ℹ️ View Unchanged

Filename	Size
packages/formik-native/dist/formik-native.cjs.development.js	306 B
packages/formik-native/dist/formik-native.cjs.production.min.js	242 B
packages/formik-native/dist/formik-native.esm.js	238 B
packages/formik-native/dist/index.js	150 B
packages/formik/dist/formik.cjs.development.js	16.2 kB
packages/formik/dist/formik.cjs.production.min.js	7.06 kB
packages/formik/dist/formik.esm.js	16.1 kB
packages/formik/dist/index.js	143 B

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