Moving a Butterfly from One Domain to Another

Hello, A person living in an apartment found a butterfly in his home on Shabbat. He managed to place the butterfly on a piece of paper and wanted to release it from the house, so he extended the paper with the butterfly to the window, with part of the paper outside the window to let the butterfly fly away. Is this considered a violation of the prohibition of transferring from a private domain to a public domain?

Hello 

If he takes it outside, it is considered transferring. 

However, if he is standing in a private domain and performs an action within the private domain to let the butterfly fly into the public domain, it is not considered transferring. 

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