A building owner wants me to look for a cheap way to have 4 circuits worth of outdoor lighting come on at dusk (without having to change timeclock setting throughout the year)and off at midnight.

I already have a photo eye controlling a 4-pole contactor. Now he wants to add a timeclock to have the light turn off at midnight. No problem, but I mentioned that the timeclock will have to be set to click back on at some point during the day to reactivate the photeye. That will kick the building lights back on for a few minutes, then shut them back off after the photoeye resets. Is there a simple way to avoid this with basic, readily available parts?