is the car stationary when the wheel is turned and you get the play? because that seems normal - the pump is working and the geometry is pitched.

Have you had ball joints, tie rod ends or an alignment done?

some techs suggest to not just replace tie rod ends but the whole steering piece from drop link on down and over to the knuckle in order to return steering feel as close to when new.

Things like mileage and checking for play in rubber suspension parts front and rear all are part of diagnosing issues.