Photometric and radial-velocity observations for TOI-6508. Left: TESS and ground-based, phase-folded light curves (unbinned and binned by 15-min data) of TOI-6508 b. The light curves are shifted along the y-axis for visibility. The residuals are also presented bellow each light curve. Right: radial-velocity measurements collected by the NIRPS spectrograph. RV observations versus time (a), phase-folded RV measurements (b) and RV residuals (O – C) (c). The red data points and solid red line show RV measurements and best fit assuming a circular orbit. The blue data points and solid blue line show RV measurements and best fit assuming an eccentric orbit.