Per https://www.researchgate.net/figure/Geometry-and-time-line-for-an-L2-halo-orbit-The-L2-Lagrange-point-is-on-the-Sun-Earth_fig2_259063722, around 50 m/s (about 110 mph) is needed for insertion into a large-amplitude halo orbit at L2.
Thank you. You provided some great insight.