There is an authoritative list - just select "mouse and keyboard" as the control scheme.
Put the game client in borderless so alt+tab is seamless.
Look at the mapping in the game, then switch to TARGET and map that key to a button on the stick.
When you're done mapping keys, you can start the TARGET script*, go back into the game and map your joystick axes. You can also add secondary mappings or overwrite any mappings (like the fire key) with a button on the stick you haven't mapped (like the trigger), and get rid of mouse mapping to ship rotation axes. The name of the bindings file will change to "Custom" when you add a new or different mapping.
* Be aware that Windows 10 has some power-saving options that will turn the stick off a few minutes after you launch the TARGET script. I don't know if this is also an issue in Windows 11, but if it affects you:
- Download USBDeview.
- Right click on it and select "run as administrator".
- Find your stick in the devices list. It should be plugged in with TARGET not running - this makes it easy to find the device in the list, which can be rather long.
- Right click on the device and select "open in regedit". This is why you launch as admin - you can't do this otherwise.
- Expand the selected folder in the right-hand pane - it starts with something like 6&1aabb...
- Select the 'Device Parameters' subfolder.
- In the main pain, double click on the entry 'EnhancedPowerManagementEnabled' entry.
- Change the Value Data entry to 0.
- Hit return. Just to be sure!
- Restart.
Basically, when you run the TARGET script, the driver hides the physical stick from Windows. Windows, thinking the device has been removed, turns off power to what it thinks is an empty USB slot. You could be in the middle of docking/undocking/fighting when this happens, which might give you a really bad day. Changing that registry parameter prevents Windows turning the port off, meaning that the stick doesn't lose power.
You can, of course, edit the registry entry without USBDeview, but you'll need to know the VID of the stick.