I was a builder for years and I think I’m going to tell you what you don’t want to hear but already know. That isn’t going to work satisfactorily. Laminate flooring “float” much more than I ever dreamed. Wait till Summer and it will really be messed up. What you need is a transition that is flush to the tile but comes up and over the laminate flooring by at least a half an inch. An incredibly difficult piece to manufacture and one that will be all the more difficult to install now that the flooring is done.
I think the simplest fix isn’t simple but would require replacing the tile with a rectangle and then properly installing straight transitions that Lowes will carry that will go flush to the tile and overlap the laminate.
I actually think the installer did a very good job with laminate for a curved entry, but I understand the frustration as they were not forthright. I think you may have to use your CC company to hold back on Lowes if they don’t support you in a satisfactory solution.
Good Luck!