Workplace conversations should be private, and that almost exclusively means either a siloed self hosted solution or a service with a contract that guarantees data integrity and privacy.
If you are playing video games using Discord is fine, at least up until you start talking about personal details of your life in their chat rooms or over their voice services. If I'm having conversations I don't want Discord's data customers having, I'll use Signal / Matrix (self hosted or encrypted channels) / Mumble.