\begin{document}$ p p \to W^{\pm} X (\to W^{+} W^{-}) $\end{document} with a tri-W-boson final state. Focusing on events with two same-sign leptonic W-boson decays into muons and a hadronically decaying W-boson, our method leverages the enhanced signal-to-background discrimination achieved through a machine-learning-based multivariate analysis. Using the heavy photophobic axion-like particle (ALP) as a benchmark, we evaluate the discovery sensitivities on both production cross section times branching ratio \begin{document}$ \sigma(p p \to W^{\pm} X) \times \text{Br}(X \to W^{+} W^{-}) $\end{document} and the coupling \begin{document}$ g_{aWW} $\end{document} for particle mass over a wide range of 170–3000 GeV at the HL-LHC with center-of-mass energy \begin{document}$ \sqrt{s} = 14 \, \text{ TeV} $\end{document} and integrated luminosity \begin{document}$ {\cal{L}} = 3 \, \text{ab}^{-1} $\end{document}. Our results show significant improvements in discovery sensitivity, particularly for masses above 300 GeV, compared to existing limits derived from CMS analyses of Standard Model (SM) tri-W-boson production at \begin{document}$ \sqrt{s} = 13 \, \text{ TeV} $\end{document}. This study demonstrates the potential of advanced selection techniques in probing the coupling of new particles to W-bosons and highlights the HL-LHC's capability to explore physics beyond the SM."> Sensitivities of new resonance couplings to <i>W</i>-bosons at the LHC -
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