RE: Is the Chateau - Cocoa & White No. 2 very rare?
My recommendation:
Sometimes you need to Punt.
Forget the Rainbow. Proceed with more dominant eyes. It may take a bit longer but you can end up with better results.
Cross the sublime with a dominant eye having a known recessive between the two. (Water over Fire, for example .. I'll use Fire to mean that middle value from here on ...) Look for Fire output. It will be either Fire over Sublime or Fire over the recessive from the Sublime. Crank that pair producing box after box. Once you have three boxes, pop to get a mating pair and start them breeding. As you get more boxes, pop, until you get more pairs cooking.
You don't know the fourth gene but you'll find it and, being more recessive than Sublime, you'll probably want it!
Generating pair: Water [Fire] crossing with Sublime [Sublime or better].
Each box output is 50/50 odds to show Fire. Menagerie Water outputs to help defray costs and reduce clutter, frustration, and temptation.
Each Fire box is 50/50 odds to carry Sublime and 50/50 odds to carry [Sublime or better].
Each sibling-to-sibling pairing from those boxes is 75/25 odds favoring Fire over either Sublime or [Sublime or better].
If Sublime results, it is 50/50 odds to be True Pure Sublime and 50/50 odds to be a repeat of the original generating Sublime hiding [Sublime or better].
If [Sublime or better] results, and is Sublime, your 75/25 odds above are actually 50/50.
If [Sublime or better] results, and is NOT Sublime, it is 1/1 odds to be True Pure of that fourth gene. Joy!
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