Grate the zest of your limes, being careful not to get any of the white pith. Put it in a bowl with the egg yolks.
Whisk the egg mixture thick and foamy using an electric mixer on maximum speed. It takes about 5 minutes.
Then slowly add the condensed milk over 3-4 minutes.
Turn the mixer to the lowest speed and add the lime juice. It should just be combined, not overmixed.
Pour the lime cream over the baked pie crust and bake it for 10 minutes at 180 degrees Celsius (356 degrees Fahrenheit) (conventional oven). The goal is to set the cream, not cook it.
Take the pie out and let it cool on a wire rack.
Once it has cooled, place it in the refrigerator.
Before serving (and decorating), give it 15 minutes in the freezer.