  Context. Following the first discovery of a planet orbiting a giant star in
2002, we started the CORALIE radial-velocity search for companions around
evolved stars (CASCADES). We present the observations of three stars conducted
at the 1.2 m Leonard Euler Swiss telescope at La Silla Observatory, Chile,
using the CORALIE spectrograph. Aims. We aim to detect planetary companions to
intermediate-mass G- and K- type evolved stars and perform a statistical
analysis of this population. We searched for new planetary systems around the
stars HD22532 (TIC 200851704), HD64121 (TIC 264770836), and HD69123 (TIC
146264536). Methods. We have followed a volume-limited sample of 641 red giants
since 2006 to obtain high-precision radial-velocity measurements. We used the
Data & Analysis Center for Exoplanets (DACE) platform to perform a
radial-velocity analysis to search for periodic signals in the line profile and
activity indices, to distinguish between planetary-induced radial-velocity
variations and stellar photospheric jitter, and to search for significant
signals in the radial-velocity time series to fit a corresponding Keplerian
model. Results. In this paper, we present the survey in detail, and we report
on the discovery of the first three planets of the sample around the giant
stars HD22532, HD64121, and HD69123.
