Sweet yet sad movie

I am trying to recall the name of a movie. The plot goes like this:

A young single fella is lied about a baby girl is his, so the baby is left under his supervision. He later finds (tho not disclosed until the end) that the little girl has a heart problem, so he grants the girl every single whim she has. The mother returns years later and tries to get her back. At the end the girl dies in the guy’s arms.

I thought the actor to be Jim Carey?, but after searching and searching, I couldn’t fin it.

Thanks a lot

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