I think you need 3 cameras as the lights and lens flare / dazzle / reflection may be an issue if you start putting a camera in the corner or on the house wall by the light.
Personally, I think this is one instance where a
doorbell camera might be a really good idea.
This is where I would consider placing them and why:
The gate camera I'd have a longer focal length on to get a tightish crop and less of an overview. I'd point it up so coverage starts from the furniture outwards. I'm guessing 6mm but would probably consider a camera such as a 5442 with variable zoom to allow precise adjustment.
I'd leave overview and general protection to the garage camera which should capture all the windows, door and most of the patio, and close face to the doorbell / gate cameras. Just make sure you get a good doorbell camera.I think a couple have been recommended onm here in the past.
This is as best as I can visualise it in 2D.
Others opinions may vary or be better.