The S10 is still eligible to receive quarterly security updates in 2023. See some information here https://www.sammobile.com/news/excitement-of-big-os-updates-is-over-for-all-galaxy-s10-note-10-model...
I do not work for Samsung or make Samsung Products but provide independent advice and valuable contributions.
My Device- S21 Ultra 5G ( SM-998B/DS ) CSC= BTU , 12GB/256GB
One Ui 5.0,Android 13 .