Move EE-only flow metrics examples to EE

What does this MR do and why?

Small refactor to move EE-only flow metrics shared examples to EE support file.

No user-facing changes.

MR acceptance checklist

This checklist encourages us to confirm any changes have been analyzed to reduce risks in quality, performance, reliability, security, and maintainability.

• I have evaluated the MR acceptance checklist for this MR.

Related to #409978 (closed)