It sounds like the actors are having hard time pronouncing it, would you agree that it's hard for non-Turkish?

Good point. Some of the actors seem to be native speakers of North American English and are trying to pronounce the last vowel of "Türkiye" with the vowel of "bed" or "sell." That vowel doesn't normally appear in word-final position in that dialect of English, so the actors have to make some effort to say it.

Most English speakers trying to say "Türkiye" will, I suspect, use instead the vowel of "say" or "day."