So, for the people asking why isn't this taken as simply hax: I believe Venuzdonoa, by the description, does include a hax component. However, the description elaborates to suggest an AP component, that being the destruction of something that's infinite. As Planck raised, that does suggest at minimum High 3-A when not contradicted.
Venuzdonoa, I feel, it's one of those nuanced cases like, using a great example I know of, The Green from Swamp Thing. The Green as a realm sees time itself as a lonely tree inside a vast forest. Swamp Thing, as The Green's active avatar, has the job to maintain it. The same way a gardener would care for their flowers. He has the power to affect its totality, to change its laws, to accept other materials as part of the web of life that The Green sustains. This, by the tiering system, qualifies as significantly affecting a 2-A structure.
The same case applies here for the sword. The sword is capable of twisting logic in order to destroy infinity. That's hax that significantly affects at minimum High 3-A.
So gotta disagree with the OP.