My personal strategy is to make sure the rolling ball rolls over the BTS that affects the lesser amount of bridges, while the bridges from the other BHS are kept continuously up - which can be done without having to stand on the YHS all the time. Then the Gauntletz grunt simply steps on and off the BHS at the right time (without stepping on YHS) while you order the wingz grunt to go from the raised bridges to not yet raised ones.
It took these old fingerz (and paranoia) almost 16 minutez to achieve a "Perfect!" score. I SAVEd frequently. :-[
The bridgez are the most difficult part (for me), and young buckz (and doez) may consider it to be 'Easy'. I choose to retain the difficulty rating of "Medium" due to my advanced age, and the fact that several of our Gruntzerz also have completed a few years and have fingerz that don't fly as well as they used to.
I played it through and it's definitely a nice, compact level. It's worth sharing that it was originally intended as a replacement for Theo's part in our collab in case he didn't make his own in time - notice that the area shape matches the layout. Though it was later revealed not to be eligible for swapping anyway, as Zu replaced the Bricklayer with a set of Wingz, which would naturally break the part that comes after it.