Does Douremi sound like a good name for the triplets’ daughter?

Very good.

The results of the name analysis of Douremi are as follows

Traditional Chinese Pinyin Five Elements Stroke Name Analysis

Dou Dou dōu Wood 11 (fierce)

Rui Rui ruì Gold 14: Handsome and talented, versatile, prosperous in education, prosperous in success, thin in body and in trouble in women. (auspicious)

Mi Mi mī water 9 (auspicious)

Mathematics: 34

Good or bad: good fortune