Using a small knife to cut the wire or use a coping saw blade 6 1/2 inch to saw the wire:
https://www.homedepot.com/p/Husky-6-5-in-Coping-Saw-Blade-5-Pack-122CS6/204748838
eBay has used one for $25 with $13.59 shipping
https://www.ebay.com/itm/185101378006?hash=item2b18e6e1d6:g:kcAAAOSwl~dhZIDg
coping saw blade (6 1/2 inch) picture: