Flamingo inbound messages appear in global search result

We’ve noticed that inbound messages from Flamingo are appearing in the global search results. This is unexpected behavior, as these messages should ideally be excluded from search visibility.

Could you confirm if this is the intended functionality? If not, is there a way to prevent Flamingo inbound messages from showing up in global search?

We currently disabled all search results on the site, because we were not using it.