the replacement was handled by a specialist but I have no idea if they are Apple-authorized
We gave you the information and tools that you needed to answer this question.
Please use the link that I provided.......Find Locations........to see if the shop was Apple authorized. If they are, you will see their name appear among other authorized shops in your area when you use the link.
This is very important.......a non-authorized shop does not have access to genuine Apple replacement parts and instead must use 3rd party parts that do not meet the specifications of a genuine part.
If a non-authorized shop replaced your screen, they used the wrong part. No surprise that it did not work correctly.
And the second try was also not a genuine part. If this is the case, again no surprise that the screen is still not working correctly.
Post back to tell us whether the service was performed by an authorized Apple shop so we can discuss your available options at this point.