Leather does not require 'conditioning' with anything other than water.
Keep your leather clean by protecting it with a leather protector and then regular cleaning.
Adding 'conditioners' which generally contain oils and waxes will change the appearance of your leather over time as dirt will build up on the surface and cause a sheen.
Using the correct care methods and products will not alter the factory finish.
The type of leather you have is
DYE TRANSFER REMOVAL
Dye transfer can be difficult to remove safely without damaging the finish.
The problem is that the longer the dye is left on the leather the further it will penetrate the finish on the leather so therefore the harder it becomes to remove.
Removing the problem is a staged process and starts by cleaning the leather with a foam cleaner. There are specific cleaners for this problem (LM Strong Cleaner will not be strong enough in most cases). The next stage