I have not looked into three-spot genetics so I can only help you in so far as to postulate what might be the case.
If it's true that a gold crossed with a blue produces lavenders, then either blue or gold is likely to be partialy dominant (ie they are codominant).
If you cross a blue or a gold with a lavender, therefore you have a 50% chance of getting lavenders (so half the fry will be lavender and the other half will be the color of the other parent).
Having said that, if lavender is not the result of crossing blue with gold and the trait is, therefore, not codominant, it could behave in a number of different ways:
One possibility is that it is a simple recessive or dominant allele. If it's dominant, whatever you cross it with will produce at least some lavenders. If it is recessive, you stand a chance of producing lavender offspring in the first generation but are certainly going to produce lavender offspring in the second generation (ie by crossing brother and sister from the first spawn).
I would assume that crossing a blue with a gold gourami, if this doesn't produce lavenders, would produce a wild-type muddy blue. If this is the case, blue is dominant over gold. In that case, lavender would probably be more likely to be produced from crossing the lavender(s) to gold gouramies if lavender behaves as a simple Mendelian allele (dominant or recessive like I described above).
An alternatvie would be that lavender is the result of lots of different genes and was originaly selectively bred. If this is so, you have very little hope of producing lavenders unless you breed lavender to lavender.
As far as I know, lavender is indeed the result of crossing blue to gold but the gold needs to be from blue (ie selectvely bred bright blue as is currently the most popular color - not the brownish wild color) lineage (because most golds descend from wild
Trichogaster trichopterus sumatranus so the offspring from such crosses show that typical muddy-blue color instead of a bright mix of blue and gold).
What I am basicaly saying is, if I'm right, you should cross your lavender to a blue or opaline and you'd expect about half the fry to be lavender and the rest blue
Breeding the offspring back to more blues may improve the color thereafter and you could also cross lavender with lavender to get similar (possibly better though you'd also get a quarter gold and a quarter blue) results.
Please do let me know when you try a cross what the result is! I'd love to work out how lavender
realy works
