Chocolate Bar

Alice has a 2×32\times 3 chocolate bar. She wants to break it into 6 equal pieces by picking up every piece that is not size 1×11\times 1 and cutting it horizontally or vertically along the grid line into two pieces. One way to do it with 5 cuts is shown in the diagram below:

Is there a way that Alice can do it with fewer than 5 cuts?

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