[Grammar] Can we use an indirect question with a question form?

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Mori

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"We would like to know how many calls does it take to evaluate the n th Fibonacci number if we follow the given recurrence."
Source: Lexico

I wonder if it must be the following.
"We would like to know how many calls it takes to evaluate the n th Fibonacci number if we follow the given recurrence."
 
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Yes, it should say that. To use "does it take", it would have to say something like:

We would like to know something - how many calls does it take to ... recurrence?
 
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