The distance modulus formula : m - M = 5[log(d_pc) -1] = - 5[log(parallax)+1], in which m=apparent magnitude, M=absolute magnitude, distance in parsecs is 'd_pc'.

Putting your Update data in,

M - m = 5[log(parallax)+1], as d_pc = (parallax")

M = m + 5[log(parallax)+1]

= 0.08 + 5[log(0.0762)+1]

= 0.08 + 5(0.882 -1)

= - 0.51

Brightness is the comparison of absolute magnitudes (M).

Sun has m = 4.83 ,

brightness comparison (w.r.t. Sun) in abs.mag.(I take powers of 10, instead of log)

₁ₒ-0.4(-0.51 - 4.83) = ₁ₒ0.4(5.34) = ₁ₒ2.136 =136.8 times.

[I hope you know that magn. figures to get converted to 'base 10' log, need to be divided by 2.5 or multiplied by 0.4]