Consider the polynomial function given by:
$$f(x) = 2x^3 - 3x^2 + ax - 5$$
where $a$ is a constant. It is known that this polynomial has a root at $x = 2$. Determine the value of the constant $a$ such that $f(2) = 0$. Once you find the value of $a$, evaluate the polynomial at $x = 1$, and enter your answer in the grid as a decimal.