Let $$x_0$$ be the positive solution to the equation $\large \frac{\sqrt{1+x^2}}{x} = \sqrt{1+x^2}-1.$ If the expression $$\left((2\sqrt{2}-2)x_0-1\right)^2$$ is of the form $$a+b\sqrt{c}$$, where $$a,b,c$$ are integers, and $$c$$ is square free, what is the value of $$a+b+c$$?