My keyboard has no influence on mouse placement though? My mouse is not positioned laterally to the keyboard, it's diagonally in front and to the right or on a completely separate pullout with mouse pad. Not to mention, I almost never use it.
Your mouse not positioned laterally to the keyboard is atypical for gaming.
I strongly recommend learning to mouse with your nondominant hand, at least for tasks that don’t require a ton of precision. Saved me a ton of shoulder pain.
Or use a touchscreen in combo with the mouse -- touch for simple button pushing or gestures. Works great on my laptop, I use the trackpoint stick, trackpad, and touchscreen for various tasks whichever one makes the most sense at the moment.