She is Gg (heterozygous for grey) meaning she has a 50% chance of producing a grey foal no matter what the base color is
BB, (homozygous dominant black) means she carries 2 dominant genes for producing black pigment
AA (homozygous dominant agouti) meaning the distribution of the black pigment will be at the extremities, i.e. a BAY coloring pattern
She does not carry the red gene and should not be able to produce a chestnut even if bred to one.
The black gene is confusing, she will not produce a true black foal, only shades of bay.
Therefore all of her foals born should be bay, except for the 50% that will fade to grey. Hopefully that makes sense. I’m not sure now the dilution/cream genes work, and we did not test for those alleles since she did not have any ancestors that were dilute colors.
The genetics of colour is new to me so I have a question: If I breed her to a Bay stallion that I have my eyes on, does that increase the chances of getting a bay?
And just for fun here's a photo of her: