Projected local DM speed distribution for the MW in the Galactocentric frame. The SHM with v₀ = 238 km s⁻¹ is shown (solid black), as well as high-eccentricity ex situ stars selected from the B. Ostdiek et al. (2020) catalog as a model for the GSE stellar debris (solid orange). These GSE stars are boosted using the Δσ values extracted from GSE-like mergers in TNG50 (dashed orange). Each of these speed distributions has further uncertainty induced by ﹩{w}_{{\rm{tr}}}﹩, the relative weighting of the SHM and the stellar tracers, taken from the single Traceable merger halos in the simulation. Summing these two components yields the full reconstructions (solid green), which lie ﹩{6}_{-3}^{+5}\,\,\rm{km}\,\,{\,\rm{s}\,}^{-1}﹩ from an SHM-only model.