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Coincidently (adverb)
Simultaneously; at the same time
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Coincidentally (adverb)
In a coincidental manner.
Wiktionary
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Coincidentally (adverb)
in a way that results from chance despite being very unlikely
“the three are coincidentally reunited when captured by the enemy”
“her dad coincidentally happens to be the accountant at the bank”
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Coincidentally (adverb)
at the same time
“the report should be published coincidentally with the letter”
Oxford Dictionary