Clare and Diego are discussing inscribing circles in quadrilaterals. Diego thinks that you can inscribe a circle in any quadrilateral since you can inscribe a circle in any triangle. Clare thinks it is not always possible because she does not think the angle bisectors are guaranteed to intersect at a single point. She claims she can draw a quadrilateral for which an inscribed circle can’t be drawn.

Do you agree with either of them? Explain or show your reasoning.