I calculated the deflection of a laser beam traveling through a mirror with an angle of incidence of \[\theta_1\]. If the mirror has an index of refraction n, the angle of incidence inside the mirror is given by  \[\theta_2 = \sin^{-1}\big(\frac{1}{n}\sin(\theta_1)\big) \]

If the mirror has a thickness L, the deflection h is given by \[h = \frac{L \sin(\theta_1 - \theta_2)}{\cos(\theta_2)} \approx L(\theta_1 - \theta_2)\].

For a 3° initial AoI, n = 1.444, and L = 0.2 in, h = 0.08 mm.

Thus, for the GQuEST output filter cavities, the alignment should be functionally unchanged by adding the input coupler (aka m_1).