My log file is here, you can see all the other bigball stuff. Not sure what it's for. Could be ColorOS related stuff.
Please uninstall or disable (if it is Magisk module) the other debloater and reboot.
Then attempt to re-install this debloater with your DebloatList and provide SystemlessDeboater.log
On the other side - I'm not yet on A13 but cannot believe that user could not uninstall user apps. There must be (maybe named differently in your ROM): native Settings and there something like Apps, Manage apps, where you should see all the installed apps.
Since your Omoji was preinstalled as system app, you should maybe enable something like Show all (or system or ROM) apps
Find your Omoji, you should have options like Force Stop, Uninstall, Clear Data - see screenshots from my phone (Xiaomi A12) and for another app
Uninstall should uninstall its updates (installed as user app to /data/app)
After that you should have only its original, system version that can be debloates by this debloater
If an app was (installed or) updated by Google Play, you can find it in Playstore, Manage apps, Manage.
Again, you will have Uninstall option that will only uninstall its updates (user app) if it was preinstalled by system
I have already uninstalled it. As m0han said, I restored all the debloated Omoji app, cleared data, and then uninstalled the debloater (It was an app that was granted root, not a magisk module).
I tried reinstalling using my Debloat list. Here is the log file again, it's basically the same as the previous one. https://pastebin.com/bD8utjDt
Here is the page of Omoji in the settings, under Manage Apps. I don't see uninstall option.
The app was not installed or updated by Google Play. It is not in the playstore at all. This can be seen when going to the APKMirror page for Omoji and clicking the Play Store link -- it leads to nowhere.