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I live under the impression that we don't conclusively know, although some headway was made. There is a chance that neutrinos are their own antiparticles. I think the right term to start a search on the topic is Majorana particles. This theory was featured in Project Hail Mary by Andy Weir, BTW.
I apologise, I don't have time for a more exhaustive explnation, I would have to study it again first. If you want, I can try to have a look at it later.
If that is so, if neutrinos really are their own antiparticle, would that theoretically mean that there is no such thing as neutrino annihilation?
Like photons, which are their own antiparticle, and don't annihilate on contact with each other, but those are bosons with a completely different spin, and also have zero rest mass, unlike neutrinos/antineutrinos, which DO have mass, but seem to somehow draw it out from something other than the Higgs Field.