If you're seeing both parts in a day, (weekday) will it be too late to get food after the whole play is over? Or should I do dinner during the intermission of parts1 and 2?

We ate after the 2nd part. We did weekend shows and there is always something open.

We ate in-between shows but there are plenty of food options available after

If you have time to eat during the wait

Part 2 usually ends at about a few minutes after 10. There are a few restaurants still open at that time. I would recommend having a light meal in between shows and eat after. That's what I did.

We grabbed dinner between shows, its early enough that you won't feel rushed for time. By the time you leave Part 2 its almost 10pm.

If it's the same timing as the weekend, theres plenty of time between (like 2 hours).