eui [Local dev] Replace Babel with SWC

Summary

Remove or strikethrough items that do not apply to your PR.

Browser QA
- [ ] Checked in both light and dark modes
- [ ] Checked in both MacOS and Windows high contrast modes
  - (emulate forced colors if you do not have access to a Windows machine.)
- [ ] Checked in mobile
- [ ] Checked in Chrome, Safari, Edge, and Firefox
- [ ] Checked for accessibility including keyboard-only and screenreader modes
Docs site QA
- [ ] Added documentation
- [ ] Props have proper autodocs (using @default if default values are missing) and playground toggles
- [ ] Checked Code Sandbox works for any docs examples
Code quality checklist
- [ ] Added or updated jest and cypress tests
- [ ] Updated visual regression tests
Release checklist
- [ ] A changelog entry exists and is marked appropriately
- [ ] If applicable, added the breaking change issue label (and filled out the breaking change checklist)
- [ ] If the changes unblock an issue in a different repo, smoke tested carefully (see Testing EUI features in Kibana ahead of time)
Designer checklist
- [ ] If applicable, file an issue to update EUI's Figma library with any corresponding UI changes. (This is an internal repo, if you are external to Elastic, ask a maintainer to submit this request)