Good on you for doing it.
There's nothing wrong with a rifle not shooting "1moa" with the right definition of "shooting 1moa"
It's clearly demonstrable that 3-shot sub-moa groups without considering relative posiiton may actually mean your rifle is only consistently capable of hitting a 2-3moa target.
Most hunting rifles that shoot sub moa 3-5 shot groups are probably more likely 1.5-2 moa rifles. It's just easy to lie to yourself with 3 shot groups, and the zeitgeist has set unrealistic expectations - everyone is embarrassed to have a rifle that "won't shoot 1moa". Funnily enough it takes a bit of courage to go test what it will actually do - what is a more realistic picture of the overall dispersion.
Breaking and resetting position between groups to aggregate shouldn't be considered a problem; it's directly relevant to the real world use of a rifle. You break and reset position between zeroing and trying to shoot an animal.
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