Kenmore 79691172210 Dryer

I have a Kenmore 79691172210 Dryer. The heat is not staying on for more than 10 seconds. The igniter turns bright red then the flames come up. It stay on for 8 seconds then the igniter slowly fades and then turns off completely. The barrel still spins. 30-45 seconds later, the flame comes on again and it cycles off again. Can anyone confirm that these are symptoms of a bad gas coil?

After much research, I found it to be the gas coils but for this specific model, I can't get just the coil and need the whole gas assembly?!?! What gives? A $20 part is bad but I need to pay $130 for the assembly?!

Thank you!