Answer:
The correct word to use here is indeed "there":
Unless there is some kind of delay, Zuri Ross will finish her project tonight.
Step-by-step explanation:
The three words "there", "their", and "they're" are pronounced in exactly the same way, which can be confusing when we need to write them down. But there is a simple way to distinguish them:
1. they're → is the contraction of two words: They are. "They're" is used as the subject as well as the verb of a sentence. For example: They're already here! / They're talking about you.
2. their → is the possessive pronoun for the third person plural. It is used to show that something belongs to someone. For example: I saw their new car, it is really nice. / Their mother is looking for them.
3. there → this word can be used to refer to a location, almost opposite to "here". But it is also employed in "there + to be" to indicate the existence of something. For example: There is a park near here. / There was delay, so they haven't arrive yet.