I have MX Master 3 for Mac and
MX Keys for Mac.
I also use Logi Options+.
The problem I see is that the BT menu doesn't report the right battery load of each device.
It shows something like 100% or 50% or 20% or 5%...
When charging it doesn't reflects in the icon.
In general it seems there is no REAL indication on the battery status.
I am not using any dongle. I am connecting directly to my macBook Pro 2021. Using Ventura.
But this has the same behavior on my previous macBook Pro 2017 using BigSur.

See screenshot that was taking while the mouse is charging and the keyboard shows 50% but 10 minutes ago it showed 5% and it was on charge for 10 minutes.