I have BD Total Security. Purchased Premium Security to upgrade

When I activated my New Premium Security it showed the activation date (Oct, 2021), but is still running the Total Security. Will it automatically start running when my subscription for Total Security runs out (Dec, 2021)?

OR

Do I have to uninstall the Total and re-activate the Premium?

It looks like I lost 2 months of my subscription by upgrading early!

Thanks in Advance

Jackie