My new girlfriend has two kids. Am I obligated to pay for their stuff like food and movies when we go out?

They are about 13 and 10. I have no problem paying for my girlfriend's stuff. But what about her kids?
Yes, you should pay for their stuff too.
Huh? No. Why would you pay for their stuff?
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My new girlfriend has two kids. Am I obligated to pay for their stuff like food and movies when we go out?
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