In a very strong field of incredibly weak arguments against veganism, the Argument From Divine Authority is by far the weakest. The Bible does indeed say in Genesis chapter nine, verse three that, “Every moving thing that liveth shall be meat for you; even as the green herb have I given you all things." That is a pretty unequivocal statement from the Almighty; and just as unequivocal are the biblical injunctions for (just to take a few examples from a veritable cornucopia of atrocities) selling one's daughters into slavery (Exodus 21:7-11), murder, rape, and pillaging (Deuteronomy 20:10-14), and putting to death those who have the temerity to work on the sabbath (Exodus 31:12-15).
If you're going to use holy writ to justify killing and eating animals, then you place yourself in the highly unenviable position of having to accept such justification from others who use the same text to excuse and rationalize slavery, murder, rape, genocide, animal and human sacrifice, and a host of other divinely sanctioned obscenities and absurdities.
Anyone who accepts the Argument From Divine Authority with regard to eating animals has no choice but to permit it for rape, murder, slavery and the various other acts of barbarism and savagery that the Almighty enjoins the devout to commit. The only way out of this conundrum is to assert that some biblical injunctions should be taken seriously and others may simply be ignored. But this of course invites the inevitable and unanswerable question of who decides these things and on what authority?
Unless you believe that slavery, genocide, rape, and murder are okay, then the Bible is no guide to morality.
Your argument is invalid.