Rearranging blocks at the top to make them taller shifts up the center of gravity for the entire structure, which can destabilize lower levels. So copying part of a more stable tower into a less stable one won't necessarily be an improvement.
The assumption that the tower would fall over at a certain floor tilt seems to rest on the premise that the opposing sides of a Jenga block are perfectly flat and parallel, and orthogonal to one another.
If they aren't then the blocks can be rotated relative to one another to cancel out floor unevenness.
A problem: Jenga blocks have a nominal size, but in reality they vary quite a bit. Virtually any tower from a standard set will have some inherent lean to it. If you were really diligent you could use this to maybe offset lean as you go. If you build naively, you are doomed faster. This is part of the reason why some blocks seem stubbornly stuck in the tower stack and others are loose.
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Or what about stacking off-center/cantilevered against the lean?
I was never very good at these physical engineering problems. I was always really impressed by my classmates who understood it intuitively.