A triangle \(ABC\) inscribed in a circle with radius \(R = 7\), where \[ \tan A + \tan B + \tan C = 9 \] and \[ a^2 + b^2 + c^2 = 147, \] and a point \(P\) inside the triangle with distances \(d_a, d_b, d_c\) to the sides \(BC, CA, AB\) respectively, such that \[ d_a + d_b + d_c = 6. \] Calculate the area of triangle \(ABC\)