Hi @userqStEQqVJ6T, I hope you are doing well.
I’m sorry you are experiencing issues trying to update your S10 to android 10. It seems like you’ve taken all the right steps so far, what I can recommend is taking your device to a local UBREAKIFIX location. UBREAKIFIX is Samsung Authorized, they have the capability of updating your device for you by flashing it with the correct software. I do recommend backing up your devices to an SD card or your Google account so that you don’t lose any information. Below is a link to find the nearest UBREAKIFIX location to you.
I hope that solves your problem!