I inadvertently typed the name wrongly. I didn't notice the last name. Since the first name for both are same, I should take care of their name.
I accidently typed the name incorrectly. I didn't notice the last name. Since the first name for both are same, I should take care of their name.
"Inadvertantly" and "accidentally" are not needed because no one would think you did it on purpose. "Wrong" is an adverb. You only need "wrongly" when it comes first, like "wrongly accused".
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"Inadvertantly" and "accidentally" are not needed because no one would think you did it on purpose. "Wrong" is an adverb. You only need "wrongly" when it comes first, like "wrongly accused". The subject of the third clause is "name", so the verb is wrong. "Since …" is a sentence fragment. I'm not quite sure what you are saying.
Maybe "I typed the name wrong.