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My sheet looks something like this: https://docs.google.com/spreadsheets/d/1IbHLts4V4hyc2bo_TfgZzZhFiMXkD5FSlPlpSm7xloY/edit?usp=sharing

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How would I make a formula for the max/min columns, to get the maximum/minimum value for each row, but only including columns that have the value "bar"? (highlighted in green for clarity)

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You need following formulas: MAXIFS and MINIFS.

=MAXIFS(A2:G2,$A1:$G1,"bar")
=MINIFS(A2:G2,$A1:$G1,"bar")

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