Although the copper may be a bit thick I would consider using a piercing saw with a thin blade (less metal to remove). You will break blades but that is to be expected. Finish off with a small half round, or round, file ideally one that has no been used on steel.
I have happily cut 1/8" thick brass with a piercing saw and made 1/32" thick copper gaskets using the above method.
JA