Hi @Brice_L : Sure, I'm not sure how helpful it is though (it is what it is).
And you have a calculation error(s) in your Stacked Levene sheet (cells C33-C46).
And it appears you have some copy/paste errors when stacking.
If you clean up these errors you will see that there is no discrepancy.
That said, on to the results! (for my data)
1. Levene and B-F. via JMP
2. B-F via "Excel" method (I used JMP).
3: Levene via "Excel" method (I used JMP).