Is BitMex an exchange? You can get it back if BitMex is willing to help you, because if they have control over their deposit address private keys, they can recover those tokens.
Contact them, explain the situation and pray for them to help you.
LOL, I see the ChipMixer team is on the case. Yeah, this happened to me lately, in my advanced wisdom I sent ETH to an ETH token deposit address. You are basically at the mercy of the exchange with stuff like this; be polite, but don't be too persistent. this will most likely take a while, as they put up a warning against this on every exchange I have ever used.
Some takeways:
Always double check that addy.
Turn off autocomplete
Always double check that addy!