Really good strategy, I found out about this a few days before my DAT. You should do your best sections first and then leave the most time to your worst ones. You could skip them one by one or there's a review button u could press then select a problem to skip to. Just know the questions change on intervals of 15. I think the order on BC is the same as the test so:
1-15 keyhole
16-30 tfe
31-45 angle
46-60 hole punching
61-75 cube counting
76-90 pattern folding
I did hole punch -> cube -> keyhole -> pattern folding -> TFE.
I think the best way to to pat is to spend lots of time practicing them over the entire span of your study period: maybe half an hour or an hour a day. I tried cramming the PAT at the end and it was my worst section. That being said, using BC still gave me a 21 PAT so BC problems will prepare you decently well.