We should upstream some code in the DistributionsAD package (see https://github.com/TuringLang/DistributionsAD.jl/issues/280 and https://github.com/TuringLang/DistributionsAD.jl/issues/281). Additionally, Mooncake and Enzyme no longer require this package. Ultimately, we would like to deprecate this package once the suggested upstreaming (i.e., https://github.com/TuringLang/DistributionsAD.jl/issues/280 and https://github.com/TuringLang/DistributionsAD.jl/issues/281) is complete.