Unique check-boxes for more than 2 colomns

Hey guys, quick question regarding the check-boxes in Excel.

How i can create an unique selection for example between 3 columns using the TRUE and FALSE cell link?
When you have 2 columns and you need to select only one , it's simple to use the NOT formula with the one of the cell links, but form more than 2?

I've attached a demo - same with my problem maybe you guys can illuminate me.

Thanks,
Alex

Solved using vba idea with the following code :

Sub checkbox_unique_on_row()

col_number_start = 6
col_number_stop = 8

Dim shp As Shape

Set shp = ActiveSheet.Shapes(Application.Caller)
    'MsgBox shp.Name 'Name
    'MsgBox shp.TopLeftCell.Address ' checkbox row
    'ActiveSheet.Range(shp.ControlFormat.LinkedCell).Select ' Select linked cell.

cell_row = shp.TopLeftCell.Row
    
For cell_col = col_number_start To col_number_stop

    val_cell_found = Cells(cell_row, cell_col).Value
    adress_cell_found = Cells(cell_row, cell_col).Address(RowAbsolute:=False, ColumnAbsolute:=False)
    cell_link = shp.ControlFormat.LinkedCell
    
cell_link = Replace(cell_link, "$", "")


If val_cell_found <> "False" And cell_link <> adress_cell_found Then
    Cells(cell_row, cell_col).Value = "False"
End If

Next cell_col

Set shp = Nothing
            
End Sub

+ Added the sample with it