Just be careful, because the person can be the noun, then the adjective takes on the person's desired gender.

It might be, you know, hear me out, that "grammatical gender" is a historical misnomer caused by linguistics initially practically only looking at Indo-European languages, which tend to have three noun classes with the word for "woman", "man", and "thing" all being in a different category so they became known as feminine, masculine, and neuter, with words assigned to them pseudo-randomly via phonetics. But really noun classes are a much more general thing, Bantu languages have up to 20. Persons, fruits, plants, locations, such things.

At least in Indo-European languages it's mostly about ease of reference: "I see a cup and a table. She is broken". Assuming that cup is female and table male (as in German) that is a very clear and concise statement.

plurals defaulting to male.

Except when referring to a group of women. Like “Dos profesoras”

As someone currently learning, this is really useful to know