Proving a Quadrilateral Is a Rhombus

We have the line $AB,$ which is of length $6.$ We want to build a quadrilateral $ABCD$ by choosing the lengths of $BC,$ $CD,$ and $CA.$ To determine the length of each side, we flip $4$ fair coins and make the length of that side of the quadrilateral equal to $5 + x,$ where $x$ is the number of heads we get.

We run this procedure $10$ times and get the following lengths for $BC, CD,$ and $CA:$

$$5, 6, 7$$ $$6, 7, 8$$ $$6, 6, 6$$ $$7, 7, 7$$ $$8, 5, 6$$ $$9, 5, 5$$ $$6, 6, 6$$ $$8, 9 ,7$$ $$6, 5, 9$$ $$9, 9, 5$$

Based on this experimental data, what is the experimental probability of constructing a rhombus?