examples: remove with-styled-components-babel

[JamBalaya56562]

Description

Follow up the comment in #70663.

Let's go ahead and remove these Babel style-jsx-... examples. It's getting an error, and it's likely not worth the effort to fix/keep around as an example.

In addition, with-styled-components-babel example is no longer needed because the simple with-styled-components example exists.

CC: @samcx

Adding or Updating Examples

• The "examples guidelines" are followed from our contributing doc https://github.com/vercel/next.js/blob/canary/contributing/examples/adding-examples.md
• Make sure the linting passes by running pnpm build && pnpm lint. See https://github.com/vercel/next.js/blob/canary/contributing/repository/linting.md

[ijjk]

Allow CI Workflow Run

• approve CI run for commit: 8d305bc

Note: this should only be enabled once the PR is ready to go and can only be enabled by a maintainer

[samcx]

Thank you for submitting a PR!