GLS periodograms for CARMENES VIS, CARMENES NIR, HARPS, SPIRou datasets, and the combination of all of them. For each dataset, the GLS periodogram, the GLS periodogram of the residuals after applying the pre-whitening, and the GLS periodogram of the window function are shown. The stellar rotation period and its second and third harmonics are shown as vertical yellow bands, centred at 0.206 d⁻¹ (4.9 d), 0.410 d⁻¹ (2.5 d), and 0.617 d⁻¹ (1.6 d). The vertical orange and purple lines indicate the orbital periods of planets b and c. The vertical green and cyan dotted lines indicate the orbital periods of the candidates d and e, respectively. The dashed horizontal black lines of each panel correspond to the FAP levels of 10%, 1%, and 0.1% (from top to bottom).