He's bored by the games, but feels funny joining the women. Well, you can't dictate to your hosts how the day should go, especially since it sounds as if most of the others enjoy the status quo. Maybe the group chat would naturally shift to include him. That should help break up his boredom. To go in a new direction, you could suggest that all of you go to a restaurant this year.
Some families eat out on the holidays for a cooking and cleanup break.
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