This rule works well for some people if your manager and coworkers buy into it:

Emails where you’re cc’d or bcc’d end up in a “quiet” or “lower-priority” folder. A slightly expanded version of this is described here: https://www.hanselman.com/blog/TheThreeMostImportantOutlookR...

If it’s urgent, people can IM or @mention you on Slack, or just call or walk over.