In this paper, we defined and classified the algebraic Schouten solitons that are associated with the perturbed Bott connection on three-dimensional Lorentzian Lie groups possessing three distinct distributions. By transforming equations of perturbed Bott algebraic Schouten solitons into algebraic equations, we found that $G_3,G_5,G_6$, and $G_7$ have perturbed Bott algebraic Schouten solitons under the first distribution. $G_3,G_6$, and $G_7$ have such solitons under the second distribution. Additionally, $G_2,G_3,G_4,G_5,G_6$, and $G_7$ have such solitons under the third distribution.