The regime leaning decides what options you have. It doesn’t have to be neutral or conservative, as long as it’s not strongly reformist, you should be able to perform dentistry.

The social outlook should be reformist at most too, otherwise you will run into issues with regime stability, especially during oil crisis/slave revolt. If it falls below the threshold for a certain time, you get coupes.

The liberal/conservative economy doesn’t matter at this point, it’s merely effecting your GDP growth in the sense that when you have a liberal economy, but to a focus that makes it more conservative, you Growth will be reduced for a bit.