You have provided the answer yourself, you say copy the table to all worksheets except .... and yes you will need VBA to do that.
The solution is simple, start the macro recorder and do it for one sheet, you select the table and copy it it to the worksheet you want. stop the macro recorder.
Read the generated VBA code and the edit it to loop though all the available worksheets and if the worksheet's name is not one of the 'exceptions' paste the table etc.
The loop for the worksheets is something like
You must however add checks to avoid tha worksheet that already contains the table and well ... try it out.
If you have the recorded macro you can also attach that code and see if we can help from there or attach the file
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