Here's the cold weather instructions that American Yanmar put in their manuals.
(Note the American throttle pushes forward to accelerate, the opposite of the Japan-market tractors.)
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Their warm weather instructions don't mention the Thermostart. Just full throttle, use decompression lever, turn the key, then "when starter gives enough rotation to start engine, release decompression lever. Release key immediately when engine starts."
"Important as soon as engine starts, put throttle at halfway. Do not run a cold engine at full throttle."
Then warm up 5 minutes at 1500 rpm and no load.
Below -12C +10F "Use an electric coolant heater."