Persistence of the Hubble tension
Ascertain whether the Hubble tension—the discrepancy between direct local measurements of the Hubble constant and the value inferred from the cosmic microwave background—persists, and determine for how long it remains unresolved by forthcoming observations.
References
Several tensions have been claimed over the years, but undoubtedly the most advertised one is the "Hubble tension" , reporting a disagreement between the measurement of the local expansion rate and the inferred value of $H_0$ from the CMB. It is unclear how long this tension will last, but, as we will see later, GW standard siren cosmology will provide a new way of precisely measuring the Universe's expansion rate.
— Cosmography with next-generation gravitational wave detectors
(2402.03120 - Chen et al., 5 Feb 2024) in Section 3.3 (Cosmology landscape in 2035+)