In Case is there a way to add an existing employee as a contact

Summary:

In Case is there a way to add an existing employee as a contact rather than creating the same person again in Contact creation page?

Content (please ensure you mask any confidential information):

An existing employee can be added as a contact for a Service Ticket, but the same cannot be done for a Case. For a Case, the contacts which are available to be added are only the once available/created in the below Contacts Management.

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f applicable):

Code Snippet (add any code snippets that support your topic, if applicable):