  This paper introduces a number of new intrinsically 3-linked graphs through
five new constructions. We then prove that intrinsic 3-linkedness is not
preserved by $\text{Y}\nabla$ moves. We will see that the graph $M$, which is
obtained through a $\text{Y}\nabla$ move on $(PG)^*_*(PG)$, is not
intrinsically 3-linked.
