The equilibrium effects of a change in government purchases on consumption I can't get a homework problem started due to wording. I desire to understand it, so I will only put down enough to show my line of thought.

we have a utility function to maximize, say $u(c,\ell)$, and some production function $Y=zF(K,L)$. The government purchases $g$ units of the consumption good using a lump-sum tax $\tau$.

My question: the problem states "government purchase does not enter consumer's utility."

Does this mean that we do $\max_{c,\ell}u(c,\ell)$, relating $c=\ldots - \tau$, and do not do $\max_{c,\ell} u(c,\ell) + \phi(g)$, also with some relation?

Thanks for any clarification
Generally government purchase would have effect on the price of goods in the market (the "crowding out" effect). The question is just saying that $c$ and $\ell$ are not functions of $g$.