refactor: upgrade linting deps

[damianstasik]

New Pull Request Checklist

• [x] I am not disclosing a vulnerability.
• [x] I am creating this PR in reference to an issue.

Issue Description

• This PR replaces deprecated babel-eslint with @babel/eslint-parser and updates ESLint deps.
• I ran the lint script and fixed simple issues, but there is one issue not related to this PR in src/dashboard/Data/Browser/Browser.react.js@464 which should be addressed in a separate issue.
• I also removed experimentalObjectRestSpread and jsx flags from ESLint config as they are not needed, jsx: true is set by the React plugin and experimentalObjectRestSpread is no longer experimental.
• root: true is needed, so that Babel ESLint parser knows how to locate the babel config...
• ...which I extracted to a separate file so that both webpack and ESLint share the Babel same config
• This PR also upgrades all Babel deps to avoid installing older version of @babel/eslint-parser that was compatible with older deps.

Related issue: #1902

Approach

TODOs before merging

• [x] A changelog entry is created automatically using the pull request title (do not manually add a changelog entry)

[parse-github-assistant[bot]]

Thanks for opening this pull request!

• 🎉 We are excited about your hands-on contribution!

[mtrezza]

Could you take a look at the failing test so can merge this?

[mtrezza]

Could you take a look at at the conflict? I tried to resolve it manually, but the CI started to fail, so I reverted.

[parseplatformorg]

🎉 This change has been released in version 5.0.0-alpha.4

[parseplatformorg]

🎉 This change has been released in version 5.0.0-beta.1

[parseplatformorg]

🎉 This change has been released in version 5.0.0