I used several software to fit your data. And the initial part is not good in all results. I think this may be caused by the fact that the initial part in your data deviates from the expdec3 function.
I examined your data column(A) and column(B). The initial part is too steep. If you plot just the first 20 points, you can notice that the first 5 points are varied at y=8. Then the 6th point rises rapidly. But it seems that the problem isn't caused by it. Even I excluded the first 5 points in fitting, initial part in the fitting result is not good either.
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