How can I sync Salesloft cadence membership status to HubSpot?

Hi everyone! I’m new to Salesloft and looking for a way to see in HubSpot whether a contact is currently in a Salesloft Cadence.

Does the native HubSpot integration sync a field for cadence membership or status that I can map to a custom HubSpot contact property? Ideally, I’d like to distinguish people currently in a cadence from those who are not.

If this requires a custom setup, I’d appreciate hearing how others have handled it. Thanks!