Furnace shuts down 60 seconds after startup cycle then repeats

https://diy.stackexchange.com/questions/130130/furnace-runs-for-about-5-minutes-only-and-shuts-off?rq=1
Why does my furnace run then stop? A common reason a furnace short cycles is because the heat exchanger, the part that heats your air, is getting too hot due to a lack of airflow. Once the heat exchanger overheats, it trips the high limit switch, which shuts the furnace down to protect it.Dec 9, 2016

The problem is most likely to be a defective fan limit switch. Here is link to a video that describes how to replace it Rheem Furnace Fan Limit Switch Replacement 47 22860 01

I did not see that your indoor fan motor started. Near your indoor fan motor there is a temperature switch that is called the fan delay relay. On a temperature rise the relay shuts a contact that turns on the indoor fan motor. If the contact does not close the high temperature limit will shut the gas controls off like your getting. A fan delay relay also allows the fan to run a minute or so to carry away the remaining heat in the furnace and help cool the furnace down. The fan delay relay is normally mounted in a recessed area in the fire wall of the furnace plate. I have also seen them on the top of the furnace heat exchanger. Anyway, the fan delay relay will probably not be available on a sunday, so temporarily until parts are available, try turning the thermostat fan from auto to on and try the furnace again. By turning on the fan to on the high temp limit will not shut you down again.

I have had high temp limit change there trip points, but you said you bypassed it and did the same thing.

Another cause could be using the wrong type of air filter. The new pleated filters sold block to much air flow. If air mass flow rate drops the difference in temperatur go up and when the difference in temperature go up, it gets nearer the high limit and causes it to trip. All pleated filters drop normal air flow through ducts by at least 35%. To make your air duct system work properly use the what is called throw away filters which cost about 1/3 the cost of the pleated filter. Remember to either clean or change the throw away filter monthly to reduce dirt being drawn into your duct system.
Hope this helps.

Is this a new furnace? or possibly the furnace has been converted from propane to natural gas? Was it working correctly at an earlier time and nothing has changed since? Or was there a change such as fuel change or another appliance was added? Any specifics you can add will help. The problem says furnace is not getting enough gas, why do you think that is the case? In other words what symptoms are you seeing that lead you to that conclusion?

Gas valve does not open or gas supply is shut off.

Check for condensation buildup in the Induction Blower housing. The condensate tubes or canister may be blocked and causing the diaphragm switch to trip the unit out causing the burners to shut down.

Check the draft inducer air switch ( vacuum diaphragm switch) If the switch is opening when the burner starts, you might have a blockage on air piping coming into the furnace. Also prime the condensate trap on the condensate drain from the combustion fan. Also check the gas pressure, if your gas pressure is dropping, the gas pressure switch will shut it down. If it's too high the moment it comes on could raise the pressure in the furnace dropping out the combustion fan proving switch.

check your limit switch

It's the pressure switch on the unit. Make sure that the pressure switch doesn't have debris in it that keeps it from operating smoothly. Take the tubing off from the inducer side and breath in and blow out lightly while listening for a clicking noise. If that doesn't work then I would recommend replacing it. That should solve the issue.

The first thing to look at is the flame sense rod.
Shut off power to the furnace, remove, clean sensor with steel wool or sandpaper then reinstall the sensor. Reapply power and it should run properly.