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Fig. A.1.

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Illustration of our protostar definition criterion in a slice through the center of the domain at the epoch of protostellar formation. The colormap represents the local radiative flux, which prominently displays the second core accretion shock. The lime contour represents our criterion for the protostellar surface, of which all cells within it are counted as among the protostar. The dotted black circle represents an angular average radius of the protostellar surface.

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