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GMSH, combination of Distance/MathEval/Threshold field (mesh refinement between two geometrical entities)

My question follows this first issue. I would like to mesh the fluidic pinball (see 2 below). It simply consists of 3 equally spaced circles, of same radius r. From left to right and up to down, we have the front cylinder, the top and the bottom cylinders. The geometry is symmetrical with respect to the y axis. I managed to mesh as I wished, except for one detail that I already wrote about in the 1.