I have a pair of the steel tire levers, they certainly have the needed leverage, but tended to gouge the rim edge, so stopped
using them. If you can't get one lever under and reliably pop the tire bead over the rim, doubt you will be able to get a
second, much less a third lever in there, but YMMV in that regard. My tight tire experiences are 1) getting the lever to hold
the tire bead over the rim edge 2) being unable to force the lever down the rim edge to get more bead out, soap helps
there.

I also have a Park TL10, apparently discontinued ( https://www.parktool.com/product/shop-tire-tool-tl-10) which solves the
2d problem and keeps more skin on my knuckles, nothing like hitting a flat blade spoke while tugging with all your might
on a tire bead that does not want to come out of the rim when the lever pops free. Not much help on the road.