There is nothing wrong with moving on from Muzdalifah to Makkah straight away in order to do tawaaf al-ifaadah

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He hastened and did the farewell tawaaf then he was forced to go back to Mina and stay there overnight
Ruling on stoning the Jamaraat with a piece of concrete

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Related Answers:
Ruling on stoning the Jamaraat at night and before the meridian
Do they have to stay in Mina after stoning the Jamaraat on the 13th of Dhu’l-Hijjah?
The muhrim (pilgrim in ihraam) may shave his head or cut his hair himself when exiting ihraam
He hastened and did the farewell tawaaf then he was forced to go back to Mina and stay there overnight
Ruling on stoning the Jamaraat with a piece of concrete

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