How to build a vert session
Run it by time, not distance, because miles get weird on a steep belt and the vert is what matters. A simple long session is 60 to 90 minutes between 6 and 10 percent, alternating running the gentler grades with power hiking the steep ones, exactly like you will on race day. Fuel and drink on your race schedule while you are at it, since the indoor heat makes it a great place to practice your stomach. Add up grade and distance to hit a vert target, and build that target toward the gain in your goal race over the weeks.
For strength and speed, borrow the coaching staple of steep, short work: set 8 to 10 percent, build to a smooth fast effort over 10 to 15 seconds, hold it about 20 seconds, then easy for 90 seconds, and repeat 4 to 6 times. Or finish an easy run with 10 to 15 minutes of steady uphill at a strong hiking grade. A few minutes of that after most runs adds up to a lot of climbing fitness over a build, and it is exactly the kind of thing flat-land runners use to fake mountains.