Why is SSE an objective function for KMeans++ when decreases with an increase in K

Question

While I do think this to be obvious that, since the distances to the closest centre naturally reduces with an increase in K implying a reduction in SSE with larger K, I was wondering why this is considered an objective function. How can I decide on the right value of K, if for an increase in K, SSE is bound to decrease. Thank you

Answer 1

Just realized, the intention is to plot these out, look for an elbow to be formed and then base your decision of K on that.