Technically yes. Whatever birth defects they have typically wouldn’t cause enough problems to prevent reproduction.
Gross as it is, each generation would need to have at least 4 kids, but 8 kids probably works best to speed up the genetic diversity game. Birth defects don’t start to show until a few generations in. You’ll probably get some problems a couple generations in but it’s probably a jump that can be overcome.
Gen 0 are the two, let’s say they have 8 kids
Gen 1 are all siblings, they pair off. 4 branches. 8 kids each. Siblings are off limits now and we can start to create artificial diversity.
Gen 2 are all cousins. 32 kids means 16 pairs. 8 kids each. Cousins off limits now.
Gen 3, all second cousins.
Gen 4, all third cousins. Things are looking good. This is the point when things are technically “legal”. But that typically assumes you’ve had a couple generations of non-family DNA in the mix. Idk what happens if it’s all from the same ancestor, but at the very least, we can further the gap by 1 with each generation.
The REAL problem is the overlap. We can get rid of it be saying, siblings of one immediate family can only reproduce with siblings of another immediate family until the 4th generation. At that point the gene pool should hopefully be isolated enough that overlapping is more a help than hindrance.
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