eliminating the possibilities condition exists

1-when the engine is at working temperature,

2-only in tight turn,

3-only in the right turn.

the pump is out of the question since the left turn is normal as per the description.
the suspension/steering components/pivot points have been replaced


the possible causes

1-the tie rods were installed wrong (binding due to installation at the extreme opposite end of its expected range of motion)

2-the directional control valve in the steering worm (recirculating ball nut system) has either foreign object debris

3-hopefully not, the torsion shaft of the directional control valve has snapped