In search of movie name, 90s/2000s animated movie or possible holiday special where animals find an injured bird

I remember watching this movie as a kid and have never been able to find it ever again, it has bothered me for 15+ years. The movie is set in the winter time, and some of the animals lived in a cabin and found a injured bird outside which they then bring inside said cabin. Possibly placing it on top of the fireplace. For some reason I want to say the main animal was a pink elephant lol? But I could be mixing up memories with another movie. Possible scene of some of the characters ice skating outside before finding the bird. The animals eventually go on a journey to find someone to help this bird heal (possibly santa as I'm unsure if this was a holiday movie special or not I was only 6 when I watched it) I also seem to remember them traveling across water via narwhal. Pls help I know this is a very obscure and niche movie but it's been literally driving me insane for too long I need to find it again.

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