I have found some papers (like this one: https://www.aanda.org/articles/aa/full_html/2009/45/aa12762-09/aa12762-09.html) which say that dark energy increases the potential energy in a system of a quasi-stationary gravitationally bound many-body system.
It also says that because of this, the virial mass estimate also increases with dark energy.
And likewise in this other paper (https://arxiv.org/abs/2306.14963) it is said that the presence of a cosmological constant (dark energy) increases the estimate of the mass of the Local Group. Is this because of an increase in the potential energy (as in the previous case)?
Does dark energy increase mass estimates by contributing to the potential energy of the system?