[MLL67RSSS]

It is telling you that it detected limited traction/wheel spin and took action to prevent it. It never "turned off" and never needed to be turned back on.

Sec 5 page 22 of 2013 Camaro Owners manual:
"The StabiliTrak system or the
Traction Control System (TCS)
indicator/warning light comes on
briefly while starting the engine.
If it does not, have the vehicle
serviced by your dealer. If the
system is working normally, the
indicator light will then go off.
The indicator/warning light flashes
while the StabiliTrak or TCS system
is working to control the vehicle on
a low traction surface."

If you have it turned off the TCS symbol with "OFF" underneath it will illuminate and STAY illuminated.

Traction Control System
(TCS) OFF/StabiliTrak OFF Light

This light should come on briefly as
the engine is started. If it does not
come on, have the vehicle serviced
by your dealer.
This light comes on when the
StabiliTrak system is turned off.
If the TCS is off, wheel spin is not
limited