Your symptoms do confirm that it is probably the Y-14 wire that is burned off. I provided the wiring diagram that should be that same one that you are looking at in the first image below. That Y-14 wire is in the main wiring harness (part 318306631). I don't recommend that you attempt to order and replace that entire wiring harness. The second image below shows the specifications of the wires in this range. The "14" indicates that this is a 20 gauge wire rated at 150 degrees. A technician will normally carry this type of replacement wire for repairs.
You may be able to repair this wiring failure yourself. You can likely find wire that matches the specifications shown below at your local hardware store. You will also need ceramic wire nuts to connect the wire.
Shut off the house circuit breaker for the range
before accessing internal components. If you can reconnect the wire in the circuit using the replacement wire and the ceramic wire nuts, then you may be able to fix this problem yourself. I provided the access procedure for the control board in the third image below. Before you power the range back up, I recommend that you check the resistance through the bake circuit from the control board to make sure that you don't have a short that caused the wire to burn off. The bake circuit can be checked through the Y-14 wire and the W-14 (white) wire that connect to the control board. You should measure about 40 to 60 ohms through that circuit. It should measure the same as the broil circuit (BL-14 to W-14 -- blue to white). If the bake circuit checks good after you repair the wire harness then you can reassemble the range and test the bake burner.
If you need more help, reply with additional details and we will try to assist you further.
A spill into the bottom of the oven could have burned this wire or you could have had a short in the circuit. The control board could have been damaged in this failure. If the bake burner still won't ignite after repairing the wiring failure and checking the circuit then you may need to replace the electronic oven control board (part 318296807) .
You can order parts from the
website if needed.
If you do not feel confident repairing this problem yourself, then you can have it repaired at your home by a Sears technician. Here is a link for the website:
Sears Home Services