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I should have written this statement without the use of "first" and "second" because it implies a serial connection.
Your common source neutral must go to the input neutrals of the two GFCIs. You can not feed the second GFCI from the neutral output of the first GFCI.
Instead this might be a little better description:
You can not use the output neutral terminal of one GFCI to connect to either the input or output neutral terminal of the other GFCI in this application.
If you had a single circuit, then you could cascade one GFCI from the other. This would be a series connection using the output terminals of a first GFCI to feed the input terminals of a second GFCI. However, this would be a bad idea because tripping of the first GFCI would remove power from the second GFCI. Further it increases the power dissipation in the first GFCI resulting from load on the second GFCI.
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