Neglected Troy-Bilt Snow Blower Basket Case - Will It Run?

This Troy-Bilt Storm Snowblower with given to a friend. He had intended to restore it, but decided it was little more then he wanted to deal with. So instead, he gave it to me. The free ones usually require the most work. It looks like it has been outside for several decades, has no spark and am told the carburetor has issues. Will it plow again?

Snowblower Model: Troy-Bilt Storm 10030
Tecumseh Model: HMSK105-159913B (HMSK105)

Belly Pan: Troy-Bilt 784-5732-0650 (superseded to 784-5638A)
Chain: Troy-Bilt 713-0233 (1/2 Pitch #41 X 30 Links)
Lens: Troy-Bilt 725-1672 (superseded to 925-1672)

Ignition Coil: https://amzn.to/48OPmmI
Inner Tube: https://amzn.to/4aTTdjW
Mini Tire Changer: https://www.harborfreight.com/materia...
Ratcheting Breaker Bar Adapter: https://amzn.to/41Poh0p
Roll Pin Punch: https://amzn.to/3tMD4fA
Rust-Oleum 303473 Troy Bilt Red: https://amzn.to/48pPGbN
Spark Tester: https://amzn.to/3HetBAR

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I no longer use Harbor Freight Super Heavy Duty Degreaser in my ultrasonic cleaner. Harbor Freight changed the recipe. The bottle previously stated "NON-CORROSIVE". Now it says "CORROSIVE", "do not user on Aluminum". It now damages most carburetors.

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10hp, Fixed, How To, How-To, Ignition Coil, Load Test, Mouse House, No Spark, Old Fuel, Rebuild, Repair, Rot, Rust, Small Engine, Snow Blower, Snow King, Snow Thrower, Snowblower, Snow King, Storm 10030, Tecumseh, Troubleshooting, Troy-Bilt Storm 10030, Troy-Bilt