Does the imam’s room or office come under the same rulings as the mosque and should one pray tahiyyat al-masjid in it?

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Check below answers in case you are looking for other related questions:
I’tikaaf in a room inside the mosque
Ruling on observing i‘tikaaf in a room that is separate from the mosque

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Ruling on staying overnight in the mosque and teaching children and feeding them there
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Buying places of entertainment and changing them into mosques
I’tikaaf in a room inside the mosque
Ruling on observing i‘tikaaf in a room that is separate from the mosque

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