I'd go around and tighten all the spokes on the drive side first, then on the non-drive side.
As you know (stated) the spoke tension is different from side to side. I believe (can't rember w/o referencing my Wheel book) that the drive side is about a 3:1 vs non-drive side.
An easy way to make sure you're keeping the wheel dished properly is to attach a zip tie around your chain or seat stay adjacent to the rim. Cut it so it just barely rubs the rim. Turn it down out of the way, tighten your spokes, and turn it back to verify the rim is in the same place. If not, tighten (another 1/8 to 1/4 turn) whichever side spokes are needed to move the rim back to where the zip tie barely touches again!
Remember to use small adjustments. Start with 1/8 to 1/4 turns. IOW don't start making 2 turns of each spoke nipple.
L8R
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