Pokemon name meaning:
蜜 mitsu – honey
三つ mitsu – three
蜜蜂 mitsubachi – bee
ハニー hanii – honey (Japanese word from English)
The official rõmaji for the Japanese name uses the English word “honey” directly rather than hanii. The ア (a) sound is always used to represent English short “u” in katakana, and indeed the RP pronunciation of English short u is close to the Japanese ア sound.