Sinusoidal signals within the HARPS RVs of TOI-5005. Left panels: Time series of the HARPS RVs, activity indicators, and the window function. The magenta dashed lines represent the linear trends fit to the data. Centre panels: GLS periodograms of the original time series and de-trended time series. The green dotted vertical lines indicate the location of the orbital period of TOI-5005.01 (Р_огb = 6.3 days). The magenta dotted vertical lines indicate the ≃2l-day activity-related signal that most likely reflects the stellar rotation period. The horizontal dotted lines correspond to the 10 (orange), 1 (blue), and 0.1% (green) FAP levels. Right panels: HARPS data folded to the maximum power periods: 6.3 days (RVs), 21.3 days (FWHM), 20.8 days (S-index), 21.0 days (Contrast), 20.5 days (Ca), 6.2 days (HJ, and 129.8 days (window function). The RV panel shows the de-trended data and the indicators panels show the original time series.