Jumps of 2-random reals

Characterize the Turing jumps of 2-random reals.

Background

The jump structure of 2-random reals is listed as a separate unresolved obstacle in the study of ideals generated by random chains.

References

What are the jumps of $2$-random reals?

— Open Problems in Mathematical Logic  (2608.26628 - Barmpalias et al., 27 Aug 2026) in Section 1, Problem, item (4)