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Previous studies performed with K2, <jats:italic>Spitzer<\/jats:italic>, and RV data tentatively claimed a significant non-zero eccentricity for one or both planets, possibly high enough to challenge the scenario of pure disk migration through resonant capture. With 13 new CHEOPS light curves (seven of planet b, six of planet c), we carried out a global photometric and dynamical re-analysis by including all the available literature data as well. We obtained the most accurate set of planetary parameters to date for the K2-24 system, including radii and masses at 1% and 5% precision (now essentially limited by the uncertainty on stellar parameters) and non-zero eccentricities <jats:italic>e<jats:sub>b<\/jats:sub><\/jats:italic> = 0.0498<jats:sub>\u22120.0018<\/jats:sub><jats:sup>+0.0011<\/jats:sup>, <jats:italic>e<jats:sub>c<\/jats:sub><\/jats:italic> = 0.0282<jats:sub>\u22120.0007<\/jats:sub><jats:sup>+0.0003<\/jats:sup> detected at very high significance for both planets. Such relatively large values imply the need for an additional physical mechanism of eccentricity excitation during or after the migration stage. 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