Brake Lever Reach Adjust - Moving Pads?

I recently purchased a new mtb and I am getting it ready for the trails. The last thing I need to do is center the calipers. I had them both perfectly centered, and then adjusted the reach on my levers. After the reach adjustment, the calipers are rubbing even worse than originally..

Does moving the reach adjust inwards, also move the pads? If so, what would be the order of maintenance here?

Would it be:

1. Set reach adjust
2. Push pistons back in on both calipers
3. Align calipers by losening the caliper bolts

Reach adjustment after the caliper alignment seems to throw it all off.

Breaks are TRP Slate EVOs if that helps at all.