Wow, that got long before I noticed!
I think I've read it all now, and most of what I would say has been said by someone else, but here are a few points:
I'm still learning the egg color genes, but from my understanding, Olive Eggs can't be a true color due to having to possess two different color genes. Blue, & Brown.
Wrong. Brown or not-brown, and what shade of brown, is controlled by quite a few genes. (If you pretend that each gene can make the brown darker or lighter, you'll probably be close enough to accurate.) Blue or not-blue is controlled by just one gene, that has nothing to do with the brown ones. You can have brown and blue present or absent, in any combination.
So I agree with what nicalandia already said: yes, true-breeding olive eggers are possible.
Year 3:.... I can't cross two "spinach eggers" because I won't know if the roo would have the genetics of a brown egg layer or a green egg layer.
Yes, you can, if you're willing to test-mate the rooster. Keep the most promising few roosters, mate each to a hen that lays white or brown eggs, and raise some daughters up to laying age. If the daughters lay blue or green eggs, then the rooster has at least one copy of the blue egg gene. If you have enough daughters, you can even tell if he's got one copy (some daughters lay blue/green, some lay white/brown), or two copies (all daughters lay blue/green.)
Also, I've read of someone doing DNA tests to see which chickens have 0, 1, or 2 copies of the blue egg gene.
https://www.silveruddsblue.org/testing-for-blue-egg-gene
This group has arranged testing with a lab in Germany.
https://www.backyardchickens.com/threads/jose-s-marneck-chooks.1334254/page-11#post-24123273
This a post from
@DarJones who actually got some of their birds tested. If you have any questions about the process, that's who I would ask.