In Labrador retrievers, two genes control coat colour. At the first locus, the dominant allele $B$ produces black pigment, while the recessive allele $b$ produces brown pigment. At a second locus, the dominant allele $E$ allows pigment deposition in the hair, whereas the homozygous recessive genotype $ee$ prevents pigment deposition, resulting in a yellow coat regardless of the genotype at the first locus (recessive epistasis). The two genes assort independently.

A breeder crosses a black Labrador with the genotype $BbEe$ with a yellow Labrador with the genotype $Bbee$.

What is the expected phenotypic ratio of black to brown to yellow offspring from this cross?