I am having the same problem.
julia> Library(Qt6Base_jll.libqt6concurrent_path)
◼ C:\Users\Misha\.julia\artifacts\0394df33239f031cea08c819f7bbd8ed1b2fef7a\bin\Q
t6Concurrent.dll
✗ Qt6Core.dll (NOT FOUND)
◼ C:\Users\Misha\AppData\Local\Programs\Julia-1.10.4\bin\libgcc_s_seh-1.dll
...
julia> isnothing(Qt6Base_jll.libqt6core_path)
true
julia>
File Qt6Core.dll is present:
C:\Users\User\\.julia>dir C:\Users\User\\.julia\artifacts\0394df33239f031cea08c8
9f7bbd8ed1b2fef7a\bin\Qt6Core.dll
8.07.2024 11:05 10 528 388 Qt6Core.dll