Just to add in confirmation,
If you were being used as a contractor for the first few months, you would indeed be "self-employed" under the IRS definition, no matter if you call it a small business, side gig, private contractor, freelancer, or whatever.
Unless you were hired as a W-2 employee on January 1, 2022, it is possible that you were a freelancer for part of 2022 (and required to file a schedule C and SE for that portion of your income) as well as being a W-2 employee for the rest of the year. This situation is not unprecedented, although Turbotax can sometimes get confused when you have a 1099-NEC and a W-2 from the same employer in the same year.
The key to understand is than an employee has a different relationship with their employer than a freelancer does. If the relationship actually changed from freelancer to employee, then it would be appropriate to handle it with a 1099 for part of the year and a W-2 for the rest of the year. But if your relationship did not change, then the work did not change even though they changed the paperwork, and this can be a source of problems. For information on the difference between a freelancer and employee, see here.
https://www.irs.gov/businesses/small-businesses-self-employed/independent-contractor-self-employed-o...
https://www.irs.gov/newsroom/worker-classification-101-employee-or-independent-contractor
https://www.irs.gov/businesses/small-businesses-self-employed/manage-taxes-for-your-gig-work
