It is always a mistake to assume that because computers can do X, that they will be able do everything that a human that can do X is expected to be able to do.
Solving frontier math problems is mind boggling, but perhaps it says more about frontier math problems than it does about LLMs. Same with chess which was solved decades ago.
My experience is that LLMs can be useful but are underwhelming in terms of intelligence, namely the ability to quickly learn from experience and grow with you while you accomplish a task.
Thinking of them as beings is something we should move away from.
Why wouldn't they be able to grow, its just one data point more in their training, in your notes or in their instructions.
It doesn't matter if they are beings or not. They will replace most humans in the offices like machines replaced most humans in fields or industrial plants.