On one of my four Joomla 4 websites I have this strange behaviour:
When creating or editing modules, there is a tab with options for the extension "Mobile Menu CK" where it should not be visible.
I have installed the development release (and now version 9.0.5 5 minutes ago) but that did not solve this problem.
I have unistalled and reinstalled both AMM and Mobile Menu CK but that did not work.
When I unpublish AMM the options are not visible, which is correct.
Advanced Module Manager, like the core module manager, will display any tabs the module's XML file tells it to.
This tab is not defined in the XML of that module. So it looks like MaxiMenu CK has some plugin that is injecting the tab at a later stage.
I recommend you ask them about this.
UPDATE 12:30: Maximenu CK said they fixed the problem with the "Mobile Menu CK" option tab in the next version. That leaves us with the "Notes" tab.
I contacted the creators of "Maximenu CK" and they tested it. They say "I have tested myself and I confirm the problem related to ADVMM"
As I noticed just now: it is not only the 3rd party extension "Maxmimenu CK", but also the core "Notes" tab that is visible when AMM is enabled, and not visible when AMM is enabled and the core Module Manager is used.
OK: AMM disabled: "Notes" and "Mobile Menu CK" notvisible
Not OK: AMM enabled: "Notes" and "Mobile Menu CK" visible:
You should be able to see this behaviour of the "Notes" tab also.