Short answer
HubSpot's KB: create an active segment of hard bounces from the email tool, or use the Email hard bounce reason property. Only bounces in the rolling timeframe are included. Global bounces (three or more HubSpot accounts) don't appear in hard bounce filters.
1. In HubSpot
The relevant screen in my demo portal.
2. Worth knowing
Bounced contacts are already excluded; deleting mainly cleans the database.
3. Related
Hard vs soft bounces and spam reporters.