The formula for the pull force of electromagnet is:
F = (N x I)^2 x μ0 x A^2 / (2 x g^2)
N=number of windings
I=current
A=area
g=distance to metal
However if I increase number of windings, the resistance will increase linearly so the current will proportionally drop (if I keep voltage the same, e.g. battery). So if I increase the number of winding using the same wire it will not increase the pull force. Correct?