It appears that Formation level 7 is fundamentally unsolvable. The reason I say this is that you have to place 9 circles, but it is only possible to fit at most 7 non-overlapping lines on the hex grid. Another way to see this is to look at this screenshot I took with numbers:
https://steamcommunity.com/sharedfiles/filedetails/?id=2405665028
Since we can't have more than 1 of any shape in any given region, we can have at most 1 in the blue region, 1 in the orange region, 1 in the purple region, and 1 in the green region: 4 so far.
Outside of the regions are 9 more hexes. Since we can't have two of the same shape in the same straight line, we can fit at most 1 circle in the white question marks, and 2 circles in the black question marks.
So we can put at most 7 of any one shape on this level ... what am I missing here?