I use Logitech Signature M650 for this test.
In the picture below, spec is shown on Windows 11.
The test steps – X-Mouse Button Control 2.20.5
On: Windows 11 Home
Download: https://www.highrez.co.uk/downloads/xmousebuttoncontrol.htm
1. Go to the link above download, then install it.
Open the app, click the arrow at the taskbar, its icon shows.
Double click that icon, a new window shows, at the left pane, select default that means the actions that will be set are for every app.
At the right pane, click tab ‘Layer 1’.
2. You have to check that the numbers of physical mouse buttons.
The steps are:
A. Move a mouse pointer over window of X-Mouse Button Control
B. Click a target button. You will see a drop-down list menu is highlighted with orange.
Click a drop-down list menu, then select ‘Simulated Keys’.
Then click a gear icon.
A new window opens, at ‘Enter the custom keys’ box, click a drop-down list at the end of the box.
Select ‘Modifier Keys’ > ‘Control’
You will see {CTRL} in the box, then type ‘C’. Click ‘OK’
Do the same step for another button.
I doubt that this app can sepearte actions for mouse #1 and mouse #2.
The test steps – X-Mouse Button Control 2.20.5
On: Windows 11 Home
Download: https://www.highrez.co.uk/downloads/xmousebuttoncontrol.htm