homophone
"They're" is a contraction of "they are," so it fits any sentence where you could substitute the full two words without changing the meaning — "They are going to love this" confirms "they're" is correct here.
"Their" indicates possession, showing something belongs to a group of people, and "there" indicates location or existence ("over there," "there is"), so both would create nonsense if swapped into a sentence that actually means "they are."
These three homophones are among the most commonly confused words in English precisely because they sound identical while serving three completely different grammatical roles, tripping up even experienced native writers in quick typing.
Quration — Quration English