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thanks for your rply
If you want really do this check, you have to simplify your geometry or decrease element size around the holes.
But, this criterion is not so important (believe me!). Your mesh is good enough to do an analysis.
Don't forget that you're working with 3D TET4 elements at the end. So quality check for 3D TET4 is also important.
Try reducing the element size because as i can see how many times you remesh the skew error will come.
As you are going to a tetra mesh i say again we mainly focus on tet collapse and not so much on skew.
If you still want to improve the mesh you have to first improve the 2D mesh by either reducing the element size or by moving the nodes of the elements etc because if the 2D mesh is good then the tetra mesh will also be good.
Thankyou