Should I use "have" or "has" in this question?

Does she have to go to school?


Does she has to go to school?

If I should use "have", then what is the rule which makes me not use "has" here?

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    Only one verb gets conjugated in a compound verb: here does is conjugated, so have remains in its bare infinitive form. – Peter Shor Jan 10 at 19:24

Does is the inflected verb here. It has the s because it is third person singular present. It is followed by the present infinitive, have which is invariant by definition of infinite in this context. It does not change with number or gender of the subject or tense of the modal verb.

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