All:

Parents who are not eligible for 2021 stimulus check have dependent who graduated college in 2021 and began working.  Parents are eligible and "can" claim him as a dependent.

Obviously, from a pure tax point of view, dependent and parents benefit from graduate claiming himself and not parents.   However, I am concerned about the word "Can".  

Since the parents "can" claim dependent it seems to preclude dependent from the tax benefits.  Am I correct in that assumption?