Like, you have a firewall and NAT on your router. The biggest piece of information it can leak is what university you attend, maybe, if you happen to go to an American institution that got in on this Internet thing when you could still get assigned a /16 just for showing up with a board of trustees. Everything leaks your IP already. Playing multiplayer Minecraft leaks it. Playing whatever the team shooter du jour is leaks it. It's fine. The worst things someone can do with that information are bog your connection down with junk (at expense to themselves) or complain about you to your ISP, who probably don't care unless you're doing Proper Internet Crimes. And, frankly? Most people freaking out about their IP getting leaked are not committing interesting Internet crimes.
Edited in addendum: also, the sooner we all remember that sharing your IP is fine, the sooner we can all migrate back to IRC, and finally get rid of discord. Ideally before that whole venture-capital-fueled trashfire becomes totally unusable.