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Google Sheets: Average of largest values in each row of an array

Time:06-11

I have an array 3 columns wide x 10 rows deep. Each row contains at least one number. I need a formula that takes the average of the largest numbers in each row.

I can easily do this by adding a 4th column and dragging the Large function down, then averaging that column, but I would like to avoid that if at all possible.

My demo sheet is here:

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