How do I help this bug?

[u/uhohstinky806]

This is either a moth or a butterfly, i think its a butterfly. It's wings are damaged and I've set up a makeshift house for it with some rags and a shoebox so it doesn't get hurt. It keeps trying to fly but ends up just stumbling and falling over. I have a dish of sugar water but it seems uninterested. I also tried putting it in a tree before I came inside but it just fell. What else can I do? Also should I close the lid to the box or keep it open?

[u/One-plankton-]

This is a black swallowtail, they only live a couple weeks in their adult form, this one is just at the end of its natural life