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We investigate the magneto-transport through a 1.6  μ m wide quantum dot (QD) with an adjacent charge detector, for different integer filling factors in the QD and constrictions. When this system is operated at a high transmission, it acts as a Fabry–Pérot interferometer, where transport is governed by a Coulomb blockade mechanism. For lower transmissions where the barriers are in the tunneling regime, we can directly measure the charge stability diagram of two capacitively and tunnel-coupled Landau levels. The tunneling regime has been investigated in direct transport, as well as in single-electron counting. The edge states within the dot are non-cyclically depopulated, which can be explained by a simple capacitive model and allows to draw conclusions about the edge state geometry within the QD.