Selecting "Exclude from RSS feeds, sitemaps, rivers, and site search" in the Publishing field will prevent this content from appearing in your site's Search, RSS feeds, and Rivers when published. Note: This will not hide content from Google, but may impact its searchability.
Selecting "Exclude from recirculation" keeps published content from being included in your site's internal content recirculation (aka "Related Content").
Excluded content can still be searched in Copilot.