New rear tyres, replace front tyres as well?

Hello, I need your advice. When changing wheels, I noticed that one of our Hankook winter tyres (DOT 2714) was flat (0,35 bar residual pressure). I was able to verify a pressure loss of approx. 0.5 bar / day by filling up several times. Today I am then to the tyre dealer (Euromaster), unfortunately the cause was not found there, it was probably not on the valve. Since the tire sowiso had only 5mm profile and I currently have little time, I have closed two new Goody I now have to decide whether I should replace the front tyres (e.g. Hankook, approx. 5.5mm residual profile, also DOT 2714) in order to have a uniform tire again. Frame data: Peugeot 308 SW Built 2010 HDI110 109 HP, 157.000 KM 205/55 R16 Driving profile: Daily Driver, approx. 25,000 KM a year, daily 60 KM in Stuttgart surroundings, sometimes side roads. In the Alps it also goes by car. In general, in front of the car still have at least I’m afraid that the remaining Hankooks will have to be replaced after the season. What would you do? Keep Hankooks or also convert the front axle to Goodyear? Best regards Mathias