Create DataFrame with MultiIndex of Three Levels, Partially by Product

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I want a DataFrame that has three levels for index, two correlate to each 1:1, name and position, the third is cartesian, dates for each person. I want it to look like this:

Index 1 Index 2 Index 3 Points Assists
Jim Forward 1/1/2022 3 5
1/2/2022 4 7
Kerry Centre 1/1/2022 8 1
1/2/2022 2 4
Bob Defense 1/1/2022 1 9
1/2/2022 2 5

How can I build this? I don't know how to combine the by_product method of MultiIndex with a by_array or by_tuple method.

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