Small Engine Troubleshooting Problems? Ask a Mechanic Now.
Test line from fule pump made no difference, and fuel solenoid made no difference. ?? no backfiring or anything that would indicate it has spark /timing problem? and you have been through the carburetor float and needle valve passage?
Answer got to wring question, sorry. What you have is the steering gear and the sector gear worn and is slipping! Need both pieces and the bearings that go on the steering gear shaft.
20 and 21 in the picture.