Put a number on the inventory skew

You quote a stock with fair value $200.00$. Random flow has left you long $q = 40{,}000$ shares. Your desk's inventory penalty is $\gamma\,\sigma^2 T = 5 \times 10^{-7}$ per share, and your target half-spread is \0.03$.

Compute your reservation price and your two-sided quote, and compare it to the symmetric quote you would post while flat.