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In this work, we show that the Cold New Early Dark Energy (Cold NEDE) modelin its original form can solve both the Hubble tension and the $S_8$ tensionwithout adding any new ingredients at the fundamental level. So far, it wasassumed that the trigger field in the Cold NEDE model is completelysubdominant. However, relaxing this assumption and letting the trigger fieldcontribute a mere $0.5\%$ of the total energy density leads to a resolution ofthe $S_8$ tension while simultaneously improving it as a solution to the $H_0$tension. Fitting this model to baryonic acoustic oscillations,large-scale-structure, supernovae (including a SH0ES prior), and cosmicmicrowave background data, we report a preferred NEDE fraction of$f_\mathrm{NEDE}= 0.134^{+0.032}_{-0.025}$ ($68\%$ C.L.), lifting its Gaussianevidence for the first time above $5\sigma$ (up from $4 \sigma$ when thetrigger contribution to dark matter is negligible). At the same time, we findthe new concordance values $H_0 = 71.71 \pm 0.88 \,\mathrm{km}\,\mathrm{sec}^{-1}\, \mathrm{Mpc}^{-1}$ and $S_8 = 0.793 \pm 0.018$. Excludinglarge-scale structure data and the SH$_0$ES prior, both Gaussian tensions arereduced below the $2 \sigma$ level.

Cold New Early Dark Energy pulls the trigger on the $H_0$ and $S_8$ tensions: a simultaneous solution to both tensions without new ingredients