No, the scale factor in a map projection is integrated in the projection calculations. The purpose of the factor is to minimise overall distortion as the easting from the central meridian (24°E) increases. 0.9996 is a common factor when transverse mercator (TM) is involved.
Once projected, the resultant coordinate is in metres (in this case), no further scaling is needed, and you can use a simple Pythagorean hypotenuse calculation to determine a distance.