LMAO... that would have been nice to have in your OP.
If your car is off, you should EXPECT the lights to dim when you are playing off battery. The more power you pull from a battery, the lower the voltage it produces. That is battery 101 stuff.
Now the only way to minimize the amount that the voltage drops is to have more batteries to distribute that load. If it is that important to not have your lights dim, you have 2 choices: