I looked up your stove and it says "Thermocouple Protection".
There are two types of flame safeties that I know of. One uses flame rectification, which requires power, and the other is thermocouple protection, which requires no power.
The automatic igniter does require power unless it is a snap button that you push.
So, just to be clear and to make sure I'm understanding the situation, the igniting sequence is something like this: Push the knob in (this overrides the thermocouple), turn the knob (which opens the gas supply and switches on the spark system), once lit, hold the knob pushed in for several seconds to give the thermocouple a chance to warm up, release the knob (which allows it to pop out), and the flame should stay on. (If the thermoucouple was warmed up enough and the system is working properly).
Thermocouple systems require no outside power to operate. The advertisement for your stove says it is a "thermocouple protection system".
The electronic sparking system does require power from either a battery
of the house current.
So, help me understand: if you push the knob in, and turn it to turn the gas on, and then light
the flame with a match, and then continue to hold the knob pushed in and turned for a few seconds before letting go, will the flame stay on?
Once get past that hurdle, we can go to the next step. It either will stay on, or it will not stay on.