Get path when accessing a deep object

I have created deep proxy object. Now I want that whenever someone access a deep property it must show the path.

const deepPath = [];

function deepProxy(obj, path = []) {
    const store = {};
    
    return new Proxy(obj, {
         deleteProperty(obj, prop) {
             delete obj[prop];
             delete store[prop];
             return true;
         },
         get(obj, prop) {
            if (store[prop]) return store[prop];
                
            const value = obj[prop];
            if (isObject(value))
                return (store[prop] = deepProxy(value, [...path, prop]));

            return value;
         },
         set(obj, prop, value) {
             if (isObject(value))
                value = store[prop] = deepProxy(value, [...path, prop]);
             
             obj[prop] = value;
             return true;
         }
    });
}


const obj = deepProxy({
    first: {
        second: {
            deep: true
        }
    }
});

Now it is deep proxy. Now if someone access a deep object or value. then how i can know path. for exaMPLE. Whenever i access a value it must push full path into "deepPath" array.

console.log(obj.first.second);
// should push "first.second"

console.log(obj.first);
// should push "first"

console.log(obj.first.second.deep);
// should push "first.second.deep"

Is there any way to do this ?