Please try to restart the device and check again for update and let us know if it works.
Some times simple reboot will fix some issues.
Also, As you have mentioned you received an android 10 update. Try to wipe the cache partition of your device and get back to us with the result.
@SavvySavoie, You can also try to clear cache and data of Samsung internet. Then restart your device and check again for updates for Samsung internet.
Follow the below steps: