Hi @LelouchViBritannian Yes The s10 lite will be receive Android 13 unlike the other phones n the S10 series as it was released later.https://www.sammobile.com/news/galaxy-s10-lite-android-13-update-galaxy-s10-plus-not/
Not guaranteed to be elegible for the Beta though, however you can check in the Members App as @Glenntech explained. https://www.sammobile.com/news/samsung-devices-eligible-for-one-ui-5-0-beta/
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 .