No Android 13 for the Galaxy S10 series, but the August security update is here - PhoneArena
Samsung Galaxy Android 13 Update Info (November, 2023)
Samsung seeds Android 13 to Galaxy M53, S10 Lite as Z Fold3 and Z Flip3 rollout reaches the US - GSMArena.com news
Samsung is preparing an Android 13 update for the Galaxy S10 Lite, but the Galaxy S10, Galaxy S10+ and Galaxy S10e will not receive the firmware | gagadget.com