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Praise be to Allah.
He does not have to say the exact words that are narrated, because this is not an act of worship in which the exact words have to be said, and as that is the case it is sufficient to express the same meaning.
Majmoo‘ Fataawa Ibn ‘Uthaymeen (22/26)
What is meant is that if one says words that have the same meaning as his words, “If I cannot complete ‘umrah then I have exited ihram”, that is sufficient.