It's important to remember that:
* All dogs deserve respect and dignity, regardless of their breed or mix.
* Using derogatory terms reinforces negative stereotypes and contributes to discrimination.
Instead of using "gyp dog" or other offensive terms, consider using positive and respectful language like "mixed-breed dog" or "mutt" (which can be a term of endearment).
If you're looking for a more specific way to describe a mixed-breed dog, you could try to identify its parent breeds or simply appreciate its unique appearance and personality.