I have just finished putting this rifle together and haven't taken it to the range yet.
Then how can you expect them to co-witness?
If either the BUIS or the Eotech is sighted in, then you can adjust the other sight so they both co-witness.
Go to the range, get the Eotech sighted in first.
Then adjust the BUIS (and front post) so that when looking through the irons, the center dot of the Eotech appears to be right on the tip of the front post.
Then turn off the Eotech, and fine tune the iron sights.
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Or you can do the opposite, leave the Eotech off, sight in the iron sights. Then turn on the Eotech, and adjust the Eotech so that the dot appears to be on the tip of the front post when looking through the BUIS. Then flip the BUIS out of the way, and fine tune the Eotech.