Eb7000 won't stay running after 12 seconds disconnected the oil sensor wire but no change

it appears to be insufficient fuel flow to the carby
check for blockages in the tap , lines , tank filter, needle and seat area

Check oil level, may have low oil sensor which will shut it down each time within seconds.
if oil is low add some see if that takes care of it,if not test the sensor

To review, the check engine light will stay on until the problem is fixed and the code or codes are erased. And if the O2 sensor is disconnected the light will stay on for sure.
Do you have the trouble codes stored in the computer ?
FYI - the cylinders should have over 100psi of compression.

All mowers have a low oil sensor, fill oil with 30w.

Short answer: Yes

the oil sensor unplugged will either show a light on your dash(Or oil gauge won't work, not sure if you have a gauge!)

The O2 sensor being unplugged will make the truck run in open loop, so it'll run rich, but it WILL run

the crank sensor is on the back side of the engine just above the oil pan there will be two sensors there one is the crank sensor and the other is oil presser sensor. All so check the wires from the crank sensor to the cam sensor. If you think it is the timing belt pull the cover and check it. hope this helps.

all code readers will retrieve information stored while in the on position --doesnt need to be running ---when you rehook up scanner either resubmit or edit request with codes

Done cars have a kill switch if they are low on oil. Check your oil. If the oil is good, it may be the ignition switch.

Check the oil pressure sensor and the wiring to it.

Oil Pressure Sensor Removal & Installation 3.4L & 3.5L Engine To Remove:

1. Disconnect the battery ground cable.
2. Raise and safely support the vehicle.
3. Disconnect the electrical connector from the oil pressure sensor.
   
   
4. Remove the oil pressure sensor from the engine.

To Install:

1. Install the oil pressure sensor on the engine. Tighten 12 ft-lb (16 Nm).
2. Connect the oil pressure sensor electrical connector.
3. Lower the vehicle.
4. Connect the battery ground cable.
5. Start the engine and check for leaks.

3.6L Engine To Remove:

1. Disconnect the oil pressure sensor electrical connector. Oil pressure sensor 3.6L
   
   
2. Remove the oil pressure sensor.

To Install:

1. Install the oil pressure sensor. Tighten 15 ft-lb (20 Nm).
2. Connect the oil pressure sensor electrical connector.
3. Check for leaks.