Fine-tuning of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mover accent="true"> <mml:mi>K</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> <mml:mi>N</mml:mi> <mml:mi>N</mml:mi> </mml:mrow> </mml:math> and <mml:math xmlns:mml

Fine-tuning of the binding energies and widths of the quasibound states in three-body systems consisting of antikaon(s) and nucleon(s) was performed. Dynamically exact three-body Faddeev-type Alt-Grassberger-Sandhas equations with three coupled particle channels were solved for the description of the $\overline{K}NN$ and $\overline{K}\overline{K}N$ systems in different spin states. New models of the antikaon-nucleon and pion-nucleon interactions were constructed, and together with my best version of the hyperon-nucleon potential, were used as input. The characteristics of the quasibound ${K}^{\ensuremath{-}}pp$ state calculated with my new one-pole $\overline{K}N\ensuremath{-}\ensuremath{\pi}\mathrm{\ensuremath{\Sigma}}\ensuremath{-}\ensuremath{\pi}\mathrm{\ensuremath{\Lambda}}$ potential reproduces the experimental data from the E15 J-PARC experiment.