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Song and Culkin welcomed their first child, Dakota Song Culkin, in April of last year.
Dakota was named after Culkins sister, who died in 2008.
Culkin and Song met while filmingChangelandin Thailand.
They were first spotted together at Craigs in Los Angeles, a restaurant known for its celebrity sightings.
My unicorn that I never thought could exist, Song wrote in her40th-birthday postto her now fiance.
I am luckiest person in the world because I am loved by you.
Recently, the pair attended a LA Rams game.
