Jumps of comparable 2-random reals

Determine whether there exist 2-random reals x<_T z with equivalent Turing jumps.

Background

Equal jumps among comparable 2-random reals would address one of the obstacles to constructing a chain whose generated ideal is not represented by a single random real.

References

Are there $2$-random reals $x<_T z$ such that $x'\equiv_T z'$?

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