How to set val property with Kotlin reflection?

I would like to return a copy of a class with a different value assigned to a val property.

data class Person(val name: String, val age: Int)

fun main() {
    val person = Person("Morné", 25)
    val property = person::class.declaredMemberProperties.first { it.name == "age" }
    person.copyWithValue(property.name, 22)
}

if age was a var then I could do it like follows:

fun main() {
    val person = Person("Morné", 25)
    val property = person::class.declaredMemberProperties.first { it.name == "age" }
    if (property is KMutableProperty<*>)
        property.setter.call(row, 22)
}