This is a tricky question because one might argue what defines a
copy.

We know the Chinese printed sheets from a single carved block that
produced an entire page well over a thousand years ago. The Koreans
had movable type about 1000 years ago.

But if we discount printing . . .

My vote goes to a device called a “polygraph” invented around 1803
by English-born John Isaac Hawkins. Thomas Jefferson had one of
Hawkins’ polygraphs and this is why we have copies of so many of
Jefferson’s letters. (Some falsely state that Jefferson was the
original inventor of the polygraph.) The device relies on the
pantograph principle and it can make several copies at one time,
while the writer wrote the original. See the web source below for
a picture of the device.

You can see Jefferson’s copying device at Monticello.