An entry in Fortnightly Topic Challenge #47: "Wacky Sudokus"
This puzzle consists of three overlapping Sudokus, coloured red, blue and green, so each cell will contain three digits, one of each colour. Taken individually, the digits of each colour will form a Sudoku in the grid. In addition, the coloured Sudokus are mutually orthogonal: for each pair of distinct colours A and B and each pair of (possibly equal) digits x and y, there is a unique cell containing an A-coloured x and a B-coloured y. An accepted solution will provide the answer as well as the key logical steps needed to reach it. I hope you enjoy!
TEXT/COLORBLIND VERSION
RED CLUES
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|8| | | | | | | |3|
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| |3| | | | | |2| |
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|4| |2| | | |8| |6|
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| |8| |2| |7| |3| |
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| | |1| |5| |7| | |
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| | | | | | | | | |
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| |5| |7| |4| |1| |
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|9| |3| |8| |2| |4|
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| |4| | | | | |6| |
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BLUE CLUES
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| | | |1| |2| | | |
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|1| | | |9| | | |6|
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| |9| | | | | |2| |
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| | |7| | | |9| | |
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| | | |5| |9| | | |
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| | | | |7| | | | |
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| | | | | | | | | |
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| |2| |9| |8| |7| |
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|9| |8| |3| |4| |2|
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GREEN CLUES
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| |7| | | | | |9| |
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| | |6| | | |7| | |
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| | | |5| |7| | | |
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|8| | | |5| | | |4|
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|7|5| | | | | |3|9|
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| |2|4|3| |9|1|5| |
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|4| |2| |3| |5| |1|
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| | | | | | | | | |
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| | | |4| |2| | | |
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SOLVER NOTE
As clued, the individually coloured Sudokus do not have unique solutions; the mutual orthogonality condition is vital to creating a unique solution to the entire puzzle.