WASHINGTON — Justice Anthony M. Kennedy, who almost certainly holds the crucial vote in the case of a Colorado baker who refused to make a wedding cake for a gay couple, sent sharply contradictory messages when it was argued Tuesday at the Supreme Court.

He asked a lawyer for the Trump administration whether the baker, Jack Phillips, could put a sign in his window saying, “We don’t bake cakes for gay weddings.” The lawyer, Noel J. Francisco said yes, so long as the cakes were custom made…

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