Max number of nested domains?

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Is there a maximum number of nested, telescopic, domains using AGRIF?

I am running a case with two nested domains croco_grd.nc, croco_grd.nc.1, and croco_grd.nc.2 and it runs ok but with a third domain, croco_grd.nc.3 it simply stops. Not much of a clue where is the error.