There are several reasons why you are having problems.
LrC is only available via subscription to LrC is via the Adobe Photography plan which include Photoshop, LrC, Lr Desktop and Lr Mobile for tablet and Smart phones.
LrC requires version 13.4 to sync to the Adobe Creative Cloud.
The same issue means your system cannot support Lr Desktop and they cannot sync to your Tablet or Smart phones even if they can use Lightroom Mobile.
So you will be paying monthly or annual fees for services you cannot access.
If you discontinue your subscription you can still utilize LrC 11 you will not be able to utilize the Develop Module but you can utilize the edit features available in the Library Module.
I am not sure what version of Photoshop / Bridge / Camera Raw you will have access to, most likely it would be limited to the features in LrC 11.
You will have to decide if the cost of upgrading your Computer is worth while.
I have a similar situation with my iMac as I cannot upgrade above LrC 12., however can use my Win Laptop to access the latest version of LrC, Lr, PS, and Lr Mobile.
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