JS proxy SET function does not get triggered when object property value gets changed

Question

Take a look at this example:

let proxyHandler = {
   set(obj, prop, value) {
      console.log("triggered");
   }
};

let p = new Proxy({
   person: {
      name: "Max"
   },
   age: 20,
}, proxyHandler);

p.age = 22;
p.person.name = "Tom";

console.log(p.person);

As you can see the setter got triggerd for the primitive type variable but not for the reference type (object).

The setter gets only triggered if i override the whole object, but i need to detect if changes happend inside of it.

Is it possible to trigger the setter no matter how deeply nested the property is? Same for arrays.