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param($n)[math]::floor$n+(($n$x=$n-band-$n)-$x%3)/3)+$n
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Port of Leaky Nun's Python answer.
Saved 5 bytes thanks to Leaky Nun
param($n)[math]::floor(($n-band-$n)/3)+$n
Try it online! or Verify all test cases
param($n)$n+(($x=$n-band-$n)-$x%3)/3
