As Nark said, it's kinda messy. The JW teaching is of Jesus fulfilling the week mentioned in Daniel by dying 3 1/2 years into his ministry (" And he must keep [the] covenant in force for the many for one week; and at the half of the week he will cause sacrifice and gift offering to cease." - Dan. 9:27) and thus JWs assert that the Law stayed in effect until Peter's vision in 36 CE.
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Rbi8 Acts 10:13-15 ***And a voice came to him: "Rise, Peter, slaughter and eat!" 14 But Peter said: "Not at all, Lord, because never have I eaten anything defiled and unclean." 15 And the voice [spoke] again to him, the second time: "You stop calling defiled the things God has cleansed."
I doubt very much that this is what the author of Daniel was talking about.