Ways to see the connected sum of $h$ copies of $\mathbb{RP}^2$ minus a point

Question

I'd like to calculate the singular homology of the connected sum of $h$ copies of $\mathbb{RP}^2$ minus $n$ points, and to do this I would like to know if the connected sum of $h$ copies of $\mathbb{RP}^2$ minus a point is homotopic to a nice space, like a bouquet of $S^1$.