How shall we fair against the... defenceless inanimate object...
Well the main issue is time. Sabres aren't explosive and making holes in something is not quite the same thing as taking it apart. So, in the limited time you have, how exactly do you envisage destroying the lift? For example, you could cut it in half horizontally so only the bottom half falls on Rand. And then the top half soon after.
(This does not help much)
Incidentally, Gallador is likely going to hav to reac tto this as well, depending on what Relle does.
I could try cutting it apart vertically, perhaps? And then Gallador and Rand can cut up the sections that come their way (or in Rand's case he can deflect it with the Force or something).
Maybe make one section fall off before Katai finishes shooting the cable and Rand and Gallador can position into the spot where the car is missing a section.