Hi all, I am sharing some functions which work for my use cases.
This aggregates the solution of multiple threads:

Reference GIST: https://gist.github.com/Dasc3er/2af5069afb728c39d54434cb28a1dbb8

table = shape.table

def add_column(table):
    """
    Duplicates the last column of the table and appends it to the end.
    """
    import copy
    from pptx.table import _Cell, _Column

    new_col = copy.deepcopy(table._tbl.tblGrid.gridCol_lst[-1])
    table._tbl.tblGrid.append(new_col)  # copies last grid element

    for tr in table._tbl.tr_lst:
        # duplicate last cell of each row
        new_tc = copy.deepcopy(tr.tc_lst[-1])

        # Fix for column styling
        last_tc = tr.xpath(".//a:tc")[-1]
        parent = last_tc.getparent()
        parent.insert(
            parent.index(last_tc) + 1,
            new_tc
        )

        # Clear new cell content
        cell = _Cell(new_tc, tr.tc_lst)
        cell.text_frame.clear()

    # Fix column not writable
    # https://stackoverflow.com/questions/64591452/using-copy-deepcopy-with-python-pptx-to-add-a-column-to-a-table-leads-to-cell-at
    from pptx import oxml
    for child in table._tbl.getchildren():
        if isinstance(child, oxml.table.CT_TableGrid):
            ws = set()
            for j in child:
                if j.w not in ws:
                    ws.add(j.w)
                else:
                    for elem in j:
                        j.remove(elem)

    # Create object in memory, in case some operations are done by the library
    col = _Column(new_col, table)

def remove_column(table, column_index: int):
    """
    Removes a specified column from the table.
    """
    column = list(table.columns)[column_index]

    col_idx = table._tbl.tblGrid.index(column._gridCol)

    for tr in table._tbl.tr_lst:
        tr.remove(tr.tc_lst[col_idx])

    table._tbl.tblGrid.remove(column._gridCol)

def add_row(table) -> None:
    """
    Duplicates the last row and appends it to the end.
    """
    import copy
    from pptx.table import _Cell, _Row
    from random import randrange

    new_row = copy.deepcopy(table._tbl.tr_lst[-1])  # copies last row element

    for tc in new_row.tc_lst:
        cell = _Cell(tc, new_row.tc_lst)
        cell.text = ''

    table._tbl.append(new_row)
    row = _Row(new_row, table)

    # Fix row not writable
    reference = row._tr.xpath(".//a:ext")[0]
    reference.getchildren()[0].set("val", str(randrange(10 ** 5, 10 ** 9)))

def remove_row(table, row_index: int) -> None:
    """
    Remove a specified row from the table.

    :return:
    """
    row = list(table.rows)[row_index]

    table._tbl.remove(row._tr)

Is there a way to add rows or columns to the existing table #895

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