Flipping a brush on its axis

It's easy to rotate a brush or to check a box that allows for jitter on the X or Y axis. But is there a way to flip a brush on the X or Y axis (as illustrated above) w/o jitter. I found a post from 5 years ago that advised: "Pick the brush you want, then go to Window > Brush, and under Brush Tip Shape check the "Flip X" option. Create a new brush (button in the bottom right) to save the setting." Is there a way to more conveniently flip from one axis to another on the same brush, again, w/o jitter? Thanks.

