Your loan didn't change, just the company servicing it. Just transfer the information to the new company and pick up where the last one stopped and continue amortizing the points.
turbo tax doesn't allow me to transfer the info to the new company. When I do, both lenders are deducting the amortized point amount
I am having this problem, too. Both loans are recorded on my 2019 return so both loans have the same points listed and turbotax is adding them together. Was this resolved for you?
You will need to delete the 1098-T for the old loan, or ensure it is left blank. You can delete it from the Deductions & Credits screen by selecting the trash can icon beside the 1098-T on the screen "Review your 1098 info" which will appear after you click Review/Edit beside "Mortgage Interest and Refinancing (Form 1098)" under Your Tax Breaks.