I would still try wrapping it.
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If you can have your daughter hold the wing in place as it would be tucked under and wrap the duct tape around only the wing like in the picture. He may hold his wing out and run around after you tape it but he will be ok and get used to it. I hope you can tell by the picture that it is not wrapped to tight instead leaving it as he would naturally hold the other wing. If you have any more questions , just let me know. I will take another picture of another bird I just taped closer to the age of you gosling. If you get it taped, please post another picture.