Is that possible to reduce/simplify the following integration into something like bivariate normal CDF?

$$ \int_{-\infty}^\infty \Phi_2(x,y+az;\rho)\phi(z)dz $$

where $\Phi_2()$ is CDF function of bivariate standard normal distribution and $\phi()$ is PDF function of standard normal distribution, and $a$ is a constant.

Thanks a lot.


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