I'm not really sure what you mean when you say you "don't know how they play their role in the big picture", but the big picture is that they have passed along their genes (good and/or bad) to your puppy.
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APBT- Lily Dale- A Melody Unchained
GSD- CA Speed Queen Leontine Von Washateria ITD
Mutt- Ilka Of Pear Orchard Cemetery BN RE CA CGC ITD