First question, is the recoil lug sitting in the slot properly. It is possible to re-assemble a T3 and not have the lug sitting in the slot in the action properly.
When you say "tap the turrets" did you just tap them, but not adjust them?
Could be the barrel is touching the stock somewhere. As it heats up and expands the pressure on the barrel changes and causes the grouping to change.
Could be loose action/ring screws.
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