Here was what Watchtower argued in their Reply Brief for the appeal:
Finally, with respect to punitive damages, Watchtower illustrates how (I) there was insufficient evidence as a matter of law to show malice to support the award of punitive damages against Watchtower; and how (J) punitive damages were misused in an attempt to force Watchtower to change its nationwide policy as perceived by Plaintiff.
The court's judgement was "for Watchtower" on this point. Again I'm not a lawyer, but it sounds to me as if Watchtower will not be required to pay any punitive damages.
As to the details and verbiage of the Court's written opinion, that remains to be seen as the document isn't available online yet. The court could conceivably only agreed with point J of the brief, thus possibly leaving the door open to a different amount in punitive damages. But, if they agreed with both lines of arguments from the brief, then I would bet on them not being required to pay any punitive damages.