Hello E.,
We specifically need all the information that is stamped into the top of one of the engine rocker/valve covers. If the valve cover has been off, it could have been reinstalled upside down, so the numbers would be on the underside.
Can you see the gear on the top of the starter? If not, the top plastic fan shroud will have to be removed. They are pretty simple to take off.
If it has the black plastic/nylon gear, it may have split in half. I have that happen several times in recent years.
The individual gear can be replaced but it takes some skill and patience.

Looks like you have the first starter in the diagram that startech posted. You CAN oil this one, so I would suggest you try that.View attachment 72467
The gear is under the shroud. It's going to be single digits here for the weekend so if a heat gun doesn't pep it up tomorrow morning then it's going to wait a few days. I have a spare starter I pulled of a scrapped engine but I really suspect the only issue is the cold.
They do get pretty torn upThe first starter has a nylon gear and I’ll bet it is stripped.
Hello E.,View attachment 72467
The gear is under the shroud. It's going to be single digits here for the weekend so if a heat gun doesn't pep it up tomorrow morning then it's going to wait a few days. I have a spare starter I pulled of a scrapped engine but I really suspect the only issue is the cold.

Are you the dude that comes on “Taryl Fixes All” YouTube channel that says, “fire it up, fire it up, fire it up!”View attachment 72467
The gear is under the shroud. It's going to be single digits here for the weekend so if a heat gun doesn't pep it up tomorrow morning then it's going to wait a few days. I have a spare starter I pulled of a scrapped engine but I really suspect the only issue is the cold.
I do NOT use a tender on smaller batteries. I remove, clean posts for next spring, fully charge, tag it with date and charge and keep in warm house. recharge after 2 months. In spring, fully charge, install and go. Most important is full charge when bringing into warm house in fall. PS I also test the battery using CCA meter and life meter and tag that so I know how much life these things have left.Remove the battery from the mower. Take inside and place on a Battery Tender till spring.
View attachment 72462