Let the point B be the reflection of the point A(2, 3) with respect to the line 8x — 6y — 23 = 0. Let $$\lceil_A$$ and $$\lceil_B$$ be circles of radii 2 and 1 with centres A and B respectively. Let T be a common tangent to the circles $$\lceil_A$$ and $$\lceil_B$$ such that both the circles are on the same side of T. If C is the point of intersection of T and the line passing through A and B, then the length of the line segment AC is __________.