If you want the colour genetics I have a pdf and spreadsheet you can have, just email or message me.
Every gold is a carrier of brown (pharoah) because having 2 gold genes is fatal as others said and gold is completely dominant over brown. That means if you *did* breed 2 golds together, the theoretical percentages of offspring are 25% dead because they inherited 2 gold genes, 50% gold carrying a brown, 25% brown.
The accepted way to breed golds is to breed them with brown. That way you get (statistically) 50% gold carrying brown, 50% brown.
Gold and brown can both carry white, white appears if the bird has 2 copies of the white gene.
Golds can carry the extended brown gene which produces rosetta and tibetan/range (ie gold is dominant over rosetta, tibetan). If you bred a gold bird carrying this gene to a brown, you can get some rosetta offspring. The extended brown gene will make brown birds rosetta, or tibetan/range if they have 2 copies of it. A brown bird can't carry the extended brown gene without you knowing it - if it has it it will be rosetta or tibetan/range.
One copy of the white gene will produce tuxedos in rosettas and tibetan/range birds, two copies will produce white birds.
The colours of the blotch on white birds reflects their other colour genetics - don't breed whites with gold blotches to each other or to golds, it has the same lethal effect as breeding gold to gold.
I explain it a lot better in my pdf but it takes a lot of pages to do so lol partly because it has photos of the colours to help identify them. Anyone who wants it can have it but they cannot pass it on without my permission as I am likely to be publishing it as a chapter in a book in the future. It is a bit complex and sciency but if you have questions I am fine with being asked for clarifications.