Hello 👋
Every time, you have some doubts about pronunciation. You can look in the dictionary. I prefer to use the Cambridge dictionary.
failure
UK /ˈfeɪ.ljər/
US /ˈfeɪ.ljɚ/
If you open this word in this dictionary and listen to it, you can clearly hear that the difference between them is that the sound /r/ is much stronger in the American variant than in the British.