If I understand the question correctly this article provides the answer and tells you what works. See in particular the following passage:
My understanding is, that you are concerned about the metal poles of
the marquee, which are ABOVE your kosher Schach. If we consider the
poles non-kosher Schach, non-kosher Schach only disqualifies the
sukka (depending where it is) when it is 4 Tefachim wide (approx. 31
cm. ) in a large sukka. So, in your case, since it is less than 5cm
width, it poses no problem. (Shulchan Aruch 632:1) On the other hand,
if the metals poles are needed to support the Schach, the schach
should not lie on them directly. You should put a strip of wood on the
poles to separate the schach from the poles.
See also this article Schach supported by metal beams
And see also the excerpt below from
https://oukosher.org/blog/consumer-kosher/preparing-sukkot-5777-qa/#fn10
How should the schach be supported?
One should not rest schach directly on metal or plastic, but rather on
wooden beams placed on top of the metal poles.10
And see also the action headed Invalid Schach and Airspaces in this article