Kenmore commercial upright freezer not sealing well - thawing

The light may be staying on and creating heat, or the unit thinks the door is still open.

Or the door seal is worn and is letting cold out.

Or

It needs gas.

Have you put a thermometer inside to check the temperature? It should be 0'F +/- 2'.

https://www.google.com/search?q=Kenmore+upright+freezer.+The+alarm+keeps+going+off

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Try sealing the door with tape to see if the thermostat will work to turn it off.
My Kenmore upright freezer had a separate cross seal down quite low, on the freezer not the door. I reversed the door seal so the damaged top part was below the cross seal and voila, no more leak.
If it needs a thermostat I suggest getting it sealed first. Mine was only 10 or so years old but Sears Parts said seal no longer available. Good luck

order a new seal at the link I provided or ebay or your choice
also check the lid or door adjustmens and obtain specific help instructions at the link I provided
Appliance Repair Help Troubleshooting and Appliance Parts

Check the door sits straight and square on the front. You can "adjust" with the heel of your hand to make it sit flat against the frame. Even a poor seal shouldn't make frozen food thaw - check and clean the condenser and fan

check door seals, also check vent direction, a dial or lever in fridge, it adjust how much air goes to fridge and freezer

a leaking gasket can cause food to thaw and it can be fixed if a new gasket is avaliable from local appliance parts place..the gasket is held on by the liner which is removed by gently lifting the gasket and removing the screws..the reverse to install the new gasket

The door seal is at fault. Regardless of the small tear it is not sealing well.
Take a dollar bill and close it in the door. Then pull on the bill to feel resistance.
You will find it pulls easily in some place. That is where your air leak is that is causing the condensation.
Do this about every 6 inches all the way around the seal.

You can try replacing the seals and or adjusting the hinges.
That may work.

Be aware that if the unit is over 10 years old it is probably using twice as much power as a new one would and costing you an extra $75 to $100 annually to run over a new unit. Could be more than that if the door seals are not tight as well.

Ice build-up in the area of the door could be causing the door gaskets to loose their seal. Shut the unit off and use a hair drier to melt the ice away from the door area. Return the control to run position and see if it makes a difference.

is it the side facing down...it so the door seal might not be sealing properly