@lsitongia I am in the dedicated N10 device group on Telegram, and I have not heard anyone comment on not being able to install 24.04-2.x
As I said on Telegram, maybe your /cache partition was filled, since you mention you had a downloaded -1.x update ready which you did not apply before attempting to upgrade to -2.x. So that was probably the original issue. But now you've done a few things already, so not sure what your current situation is.
If you are OK with starting completely fresh I would go with flashing android and then UT again.
As an aside. It is normal for the device to say it is installing updates after running it through the installer. That is just the last step on device of the installation. Several files are pushed to the cache partition by the installer and then the recovery knows to unpack those files in the correct locations.
It is also normal for the device to show as one thing (billie) in recovery and another thing (lito) in fastboot.
Lastly.. Daily is not recommended for daily use, unless you are interested in helping testing and catching early bugs. If the phone is your daily driver, then 24.04-1.x stable is the channel that you are recommended to be using.