I took the OAT Egypt trip a couple of years ago in mid October. The weather was very warm with bright sun. It might be a bit cooler at the beginning of November but I think you will still need a hat and sunblock. Many women were walking around the sites carrying umbrellas for shade. The sun was brutal.
I wore long sleeved, loose linen or cotton shirts and long cotton pants, including capri length.A few of the women wore short sleeve T-shirts but I wanted to protect my arms from the sun.
It was cooler in the evening but I never needed more than a lightweight jacket. You won't need any dressy clothes, just cool and comfortable tops and bottoms. You might want to save a bright top or some costume jewelry for the farewell dinner, but no one in our group dressed up much for that. You could also just wear a plain top and use a shawl or scarf to dress it up. Pack as light as you can.
Bring comfortable walking shoes and expect them to get dirty; you'll be walking through sand and dirt.
Also bring a water bottle holder to carry your water at the sites. We bought large bottles from the driver and then I filled my more manageable water bottle. I had a holder with a long strap so it left my hands free.
I'm always cold on planes so probably took a warmer jacket along for that but don't recall wearing it anytime other than on the flights.
The handbook should be helpful with the weather and suggestions for clothing.
I dont' know if the handbook suggests bringing a collapsible trekking pole or if you would need one , but I did use mine a few times. The Valley of the Kings and Queens were a bit hilly and some of the sites have uneven stone steps.
I hope you have a wonderful time. My seat mates on the return flight had taken the gct tour and said it was great.