[ The ratio of the areas of triangles with a common base or common height ] Difficult [ Pythagorean Theorem (direct and inverse). ] Class

Given a parallelogram $A B C D$ with sides $A B=2$ and $B C=3$. Find the area of this parallelogram if it is known that the diagonal $A C$ is perpendicular to the segment $B E$, which connects vertex $B$ to the midpoint $E$ of side $A D$.

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