Feasible but difficult. I am with [USER=50552]@superzapp but want to further specify it. It also works with 4 devices but not with 4 camera sensors in good quality.
Now I'm going completely crazy: 2 x 270° or 360° cameras with corner angle and holder (AXIS P3137-PLE, or alternatively the discontinued model P3707-PE), awarded as one of the most innovative and best 360° cameras. With these, you cover 270° and the fourth sensor covers the area below the camera.
1 x 180° camera (Axis P3807-PVE)
1 x 130° camera with weather hood (Axis M3106-LVE MK II)
That would be about the optimal solution with Axis. I also understand that this is probably far from your price expectations. Therefore, check other manufacturers to see if you find cameras with corresponding angles that appeal to you. I suspect you will end up in the range between €500-€1000 there as well. Unfortunately, you have too few camera positions. With 8 units, you could have resorted to inexpensive "standard cameras."