  In this article we study the Gross-Schoen diagonal cycle on a triple product
of Shimura curves at a place of bad reduction. We relate the image of the
diagonal cycle under the Abel-Jacobi map to certain period integral that
governs the central critical value of the Garrett-Rankin type triple product
$L$-function via level raising congruences. As an application we prove certain
rank $0$ case of the Bloch-Kato conjecture for the symmetric cube motive of a
weight $2$ modular form.
