I love the thing, and I was drinking water out of it...
But one time I put alcohol in it... and I took a few sips from it and I almost immediately started feeling nauseous and weird... now I'm scared to use it, even for water.
That doesn't sound normal. Many alcohol stills use copper (wikipedia has this bit of information: "(a copper still) removes sulfur-based compounds from the alcohol that would make it unpleasant to drink")
There are copper testing kits for aquarium water, but your health isn't really worth risking with a $10 aquarium test. Throw it away and buy a new one, and research how to properly handle copper cookware.
The thing to worry about would be poisoning from copper toxicity (by misuse above, or by overuse of copper sulfate), or if made with beryllium, beryllium poisoning. If somehow 30mg/kg of copper were swallowed, it is potentially lethal. And if any food residue is left stuck to a piece of copper cookware, it should be thrown out immediately so it doesn't leech copper out.
If all he ever did was serve a cold moscow mule using his "copper water bottle", maybe the alcohol is the problem. But we only know he used it to drink water and alcohol. We don't know if it's lined, or if the lining was damaged, or if he used a hot or acidic liquid inside it at some point, or whether it has a corrosive residue.
Most current commercial mugs have a lining in them to prevent any leaching but still allows you to maintain the look and also the copper to help with temperature.
I can't find a quick reference but I read a while back that the drink, possibly the acid from the juice, reacted with the copper to add a flavour to the drink. With the lined mugs you don't get that specific taste.
https://i.imgur.com/3k2QBQI.jpg
I love the thing, and I was drinking water out of it...
But one time I put alcohol in it... and I took a few sips from it and I almost immediately started feeling nauseous and weird... now I'm scared to use it, even for water.