Is it permissible to make the school mosque into a place in which children play at times other than the prayer times?

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Check below answers in case you are looking for other related questions:
Gathering in the mosque, and eating and chatting there, during the days of Eid
Sitting in the mosque and watching television there

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Related Answers:
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Praying in a mosque which is attached to a grave in the direction of the Qiblah
Gathering in the mosque, and eating and chatting there, during the days of Eid
Sitting in the mosque and watching television there

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