  In recent papers, Fuentealba, Henneaux, and Troessaert (FHT) gave definitions
for supertranslation invariant Lorentz charges in the ADM Hamiltonian formalism
and showed that their definitions match with the Chen, Wang, Yau (CWY)
definitions of Lorentz charges at null infinity which are free from
``supertranslation ambiguities''. In this brief note, motivated by the analysis
of FHT, we write expressions for the supertranslation invariant Lorentz charges
in Beig-Schmidt variables at spacelike and timelike infinity. We present
calculations, building upon the work of Comp\`ere, Gralla, and Wei (CGW), to
show that our expressions for supertranslation invariant Lorentz charges match
the CWY definitions at null infinity.
