Was Teddy Lupin A Werewolf?

As we all know, Remus Lupin turned out to be a werewolf. So, It got us wondering, can being a werewolf be inherited if the werewolf has a child?
Lupin didn’t survive the battle of Hogwarts to see if his son, Teddy, would turn into a werewolf at the full moon, so we’re left to wonder… was Teddy Lupin a werewolf, just like his father?
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