I can't say there wouldn't be any of the desired product in the gemisch that would result. It makes some of the connections, but I'd start by doing a symmetrical aldol to avoid the other possibilities that could occur if done at the end.
I think the enone can enolize in the correct direction as needed. Hopefully, this was discussed in your class at some point. You don't want the kinetic product.
I might convert the aldehyde into something else as I don't know how well it will undergo conjugate addition.