EE's are mutt chickens, usually of americauna or auracauna stock (they both carry a double blue gene) crossed with some other breed. In the resulting offspring, the blue color gene is closely linked with the pea comb. If you want the seafoam green eggs, that would be a light brown layer crossed with an EE that has the blue egg gene. And to get really olive eggs you'd want to cross your green egged EE again with a darker brown layer. So... to get a pink egg, you'd want to cross say a leghorn (white egg) with something that lays a brown egg... say like a barred rock or RIR. (Your EE's with a single comb will likely either be brown or white layers).
This is a very simple explanation of egg colour genetics and I'm sure there are many exceptions to these generalizations. Depending on how many generations removed from the parent stock your EE is, it can have any variety of eggs and as I determined on another thread, once it doesn't carry the blue egg gene (ie. it would likely have the pea comb and lay the green/olive eggs) then it will lay brown/pink or white eggs and no longer be considered an EE, just a "mutt" chicken.
Although I would still consider it a pretty chicken and it would be valued for it's ability to lay eggs.