This sounds like a discount program, not an income stream. If you are purchasing points with money that you have already paid taxes on and then exchanging those points for goods and services then this doesn't need to be reported on your tax return at all. That's just how you are spending your money.
If you are earning points through some program then you would report the value of the points that you earn as "Other Income" on schedule 1 of the 1040.
@Djpe
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