access template of member function from other class

Question

I am trying to change a private variable of a class inside an object, which is initialized inside that class. My intention can be drawn from the simple example below. the Increment called from obj should increase the BaseClass::stuff.

template <typename ObjectType>
class BaseClass{
 private:
  typedef int SampleType; // give custom name type
  int stuff = 0;
  ObjectType obj;

 public:
  int Increment(){
    return obj.Increment<SampleType>(stuff);
  }
};

class ObjectType{
  public:
   template <typename T>
   int Increment (T& stuff)
   {
      return stuff++;
   };
};

int main () {
  BaseClass<ObjectType> base;
  base.Increment(); // should increase stuff by 1;
}

The problem is that when I try to access ObjectType::Increment via obj.Increment<int>(stuff);, it gives me an error below:

error: expected primary-expression before ‘>’ token
     return obj.Increment<SampleType>(stuff);

I am having a hard time seeing the cause of this problem.