You're a native speaker, correct? Not trying to be difficult, just trying to understand, but could there be regional differences, because I've now heard two different TTS voices do this sentence, a man and a woman, and they both clearly pronounce the и as "yee", whether in the sentence as a whole or with just the individual word selected. I've also tried Google translate, and that also says it "yee".
Well, there are some differences. Previously, их and им could indeed have a [j] if said after a vowel, like in this video (e.g. "кто им нужен", "мы их"). Some regions likely still have this feature but I doubt it affects all words that start with и.
None of the voices here aim to model that kind of pronunciation, so it is a bug in Google TTS. In reality the speakers the voices are based off would pronounce ищет with an "ee" like in "eel".