BGP AFI or SAFI for advertising BFD status

I'm looking for a way to propagate the status of BFD sessions running on one router to another via BGP. Considering the versatility of BGP, I'm sure this is possible. But when researching BFD and BGP, my biggest difficulty was avoiding documents that talk about how to use BFD as a trigger for detecting the status of a BGP peer. I imagine that EVPN may have some space for this status propagation, but I couldn't find any information about it. Does any colleague have any clue about BFD session status propagation over BGP?