No, you should recite other surah but not the Fatiha.

Sometimes in silent congregational prayer, I recite Surah Fatiha and then add another surah after it(first 2 rakaats) but there is still time for rukoo as the imaam has not completed his recitation. In this case can I start to recite sura fatiha again? and if I do so, do I have to complete it before rukoo? can I recite Surah fatihah twice in 3rd/4th rakaat if I have time?

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