i would really prefer suppression fire on the cyan and his group. CRX likely doesnt have enough firepower for it, so it needs to be done by guan zhi. CRX's hit on the shishigui group is probably more suppression fire than fire for effect too. so with both factions tied down the question is what we do with the opening we get from that.
do we engage the white sky? this would mean all 3 groups of higher greens are tied down, so our our main force can hit the low ranked barbs up top for effect. negative part is that white sky has a G8 in it and we are G4. also, they are the faction that are the least enthusiastic about fighting us, so attacking them sounds like a mistake.
attacking the 12 star group would mean we get involved into a cyan vs cyan fight and our cyan already warned us before that they dont have IFF, so that is probably a bad idea.
attacking the shishigui means that we focus on actually taking down that group with CRX + us instead of just checking it with CRX. the drawback is that both the white sky and the stone remain unchecked. could mean they jump into any of the fights, which would be bad, or they might try to leave. possibly with the stone. that is actually still better than the cyan doing that, and our perimeter might still get them. (or we let them leave without the stone, cause again they are not that enthusiastic about fighting us)
we could still attack the rim. that would make the assault of that easier for our group of greens and we could use the backup and numerical advantages to defeat the higher stage greens. leaves the white sky and the stone unchecked. also, clearing the rim should take some time and means we arent part of the fight down there at least at first.
or we could go after the stone. It will probably be difficult to yoink it away, so we would need to play defense here. probably against several peers or slightly above greens. not impossible, but also means we arent supporting CRX vs her opponents. maybe she helps us? still, defending the stone in that situation does mean that if the white sky wants to take it, we have to fend of a G8+G6 duo for example. or maybe some of the G3/4/5 cultivators of 12 stars decide that the cyan vs cyan fight is getting too hot for them and try to grab the stone instead. or maybe both. Overall i dont think that this is going to be an easy objective, even if it is doable.