energy input into the CMB

The CMB is produced in thermal equilibrium…. would it be possible to notice if there was some extra energy put into it? What consequences could this have, depending on the way it was done?

maths bonus question: What are the asymptotes of \(\exp(\tanh(x))\) for \(x\rightarrow\pm\infty\) and what is the slope at \(x=0\)?

physics bonus question: Can you derive the energy-time-uncertainty from the momentum-position-uncertainty in quantum mechanics?