Cloister monastery convent [closed]

The word Abbey is gender-neutral. Lexico gives the definition as:

The building or buildings occupied by a community of monks or nuns

There is at least one Abbey in England which was founded as a community of both monks and nuns. Whitby Abbey was founded by St Hilda and she was the original Abbess even though some members of her community were men.

I don't think "klooster" in Dutch or "kloster" in German actually have an exact translation in English, the cloisters are specific parts of monasteries, convents, priories, abbeys, minsters, cathedrals and other buildings. Perhaps the dissolution of the monasteries has meant that the modern use of "Klooster" never developed in English. "Abbey" might be the best option.