I still don't get your question. You already have the latest EU MIUI 12 Stable version available.That I got, and that's why I was on the miui12 thread
My question was not clear sry, was more to update to the last MIUI 12 version as MIUI13 is only on fastboot as I'm not very clear on the fastboot method and risks of loosing data etc..
You get the update notification because there is a MIUI 13 version available. You can't install that through recovery.
Even if you could install it through recovery, you'd still be forced to do a clean install because you are switching Android versions (11 to 12), thus losing data and having to deal with app and personal data backups, etc.