Kawaguchi-Silverman conjecture for int-amplified endomorphism

Let X be a Q-factorial klt projective variety admitting an int-amplified endomorphism f, i.e., the modulus of any eigenvalue of f^*|NS(X) is greater than $1$. We prove Kawaguchi-Silverman conjecture for f and also any other surjective endomorphism of X: the first dynamical degree equals the arithmetic degree of any point with Zariski dense orbit. This generalizes an early result of Kawaguchi and Silverman for the polarized f case, i.e., f^*|NS(X) is diagonalizable with all eigenvalues of the same modulus greater than $1$.