3230 Refactor internal components - ValidationAnimationContainer

[green6erry]

This is part of the refactor per ADR https://github.com/primer/react/blob/main/contributor-docs/adrs/adr-016-internal-modules.md

Closes part of #3230 (type the issue number after # if applicable; otherwise remove this line)

Merge checklist

• Added/updated tests
• Added/updated documentation
• Changes are SSR compatible
• Tested in Chrome
• Tested in Firefox
• Tested in Safari
• Tested in Edge

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[github-actions]

size-limit report 📦

Path	Size
dist/browser.esm.js	101.66 KB (-0.01% 🔽)
dist/browser.umd.js	102.23 KB (-0.01% 🔽)