Copulas- how to correlate more than 2 variables?

I have 3 datasets (vectors) : x1,x2 and x3.

And I know which pdf describes each dataset better.

Moreover, x1 and x2 are described better for e.g. with Clayton copula family , whereas x1 and x3 with Gaussian.

Assuming that I use copulafit and then copularnd for the first pair (x1-x2) I can generate a new sample x1_new and x2_new. Until here I know how to do it.

Is it possible to generate x3_new, using x1_new and the Gaussian copula which describes this pair?