Lots of 2013s

Level pending

You have 2013 2013's, and you arrange them such that you create the massive number \(2013^{{{{{2013}^{2013}}^{2013}}^{...}}^{2013}}\). You call this number \(\text{'Mr. Huge'}\). Find \(\text{'Mr. Huge'} \pmod{8}\).

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