Galaxy s10e with beyond0lte-1.8.1 - what are the upgrade steps to e.OS v2?

OTA Android version Upgrade only happens for stable / official builds and this does not exist for Galaxy S10e beyond0lte.

You probably found the install page https://doc.e.foundation/devices/beyond0lte/install, where we are told

Before following these instructions please ensure that the device is on the latest Android 12 firmware.

You can see the history of published builds here https://images.ecloud.global/dev/beyond0lte/. With community / dev builds, changing from Android 11 (R) it is necessary to Format data and Return to stock ROM .

The easiest way to do this is with a Windows PC and Odin https://doc.e.foundation/pages/revert_samsung_to_stock_on_windows.