In Doha the evening is when customers write; in India it is when no one is there to read. The window bridges the night.
A Doha working day from 08:00 to 17:00 runs from 10:30 to 19:30 in India, so the overlap is long. The pressure point is the Doha evening, when families finish work and write about trips, orders and accounts, and India is heading to bed.
There are two honest answers. Put systems on the night shift: an order system or booking engine can send confirmations and status updates as utility templates at any hour. And let people take the morning: a question from 21:00 in Doha is still inside its window at 10:00 IST the next day.
What a small team should not do is promise a reply time it cannot keep. Say in the first automated answer when a person will reply, and then reply inside the window.