Couple quick observations:
I've read several conflicting opinions on mineral oil. First of all, it's a petroleum product, so that was a deal-breaker for me. Years ago the preferred coating was "water glass", not the easiest stuff to find these days.
After several years of rotating eggs, with usually 6-10 doz on hand at any one time, I've come to the conclusion that the natural 'bloom' on unwashed eggs is the best, and Nature's way, to boot!
We have viable eggs in our storage 'fridge that are 9-12 months old.
The secret is...are you ready?...use an old-school 'fridge that is NOT "frost free". Frost free refrigerators are frost free because they lower the humidity to the point frost can't form. I stored some eggs in a 'modern' fridge for 4 weeks and I might as well have put them in a dehydrator! FWIW YMMV