MVC - concept problem between view and controller communication

[Salvodif]

This is my code

class BookManagerApp(App):
        
    CSS = """
    TabPane {
        padding: 1;
    }
    """

    def __init__(self) -> None:
        super().__init__()
        
        self.db = BibliothecaProcurator("C:/MyDBTiny")
        
        self.main_table_ctrl = MainTableController(self.db)
        self.add_book_ctrl = AddBookController(self.db)
    
    def compose(self) -> ComposeResult:
        """Compose app with tabbed content."""
        
        with TabbedContent(initial="library"):
            yield self.main_table_ctrl.view
            yield self.add_book_ctrl.view
                
        yield Footer()
    
    def on_mount(self) -> None:
        self.main_table_ctrl.load_books()


if __name__ == "__main__":
    BookManagerApp().run()


class MainTableView(TabPane):

    BINDINGS = [
        ("o", "get_book_file_path", "Open File"),
    ]
    
    def __init__(self, title, id) -> None:
        super().__init__(title=title, id=id)

    def compose(self)  -> ComposeResult:
        yield Vertical(
            Input(placeholder="Search by title, author, or tags...", id="search_input"),
            Button("Search", id="search_button"),
            DataTable(id="book_table", cursor_type="row", show_cursor=True,
                      show_header=True, zebra_stripes=True)
        )

    def update_table(self, books) -> None:
        """Update the table with the list of books."""
        book_table = self.query_one("#book_table", DataTable)
        book_table.clear()
        book_table.add_columns("Title", "Author", "Tags")
        for book in books:
            book_table.add_row(book["title"], book["authors"], ", ".join(book["tags"]), key=book["uuid"])

    def action_open_file(self) -> str:
        """Get the search input from the user."""
        search_input = self.query_one("#search_input", Input)
        return search_input.value.strip()
    
    def get_current_book_key(self) -> str:
        """Get the key of the currently selected book."""
        book_table = self.query_one("#book_table", DataTable)
        
        row_key, _ = book_table.coordinate_to_cell_key(book_table.cursor_coordinate)

        if row_key:
            return row_key

        return None

my problem is that I can only do the keyboard bindings in the main view, so if in BookManagerApp I have

 BINDINGS = [
 ("o", "open_file", "Open file"),
 ]

this works perfectly and I would also have the controller but then I wouldn't be using MVC properly.

If I write the bindings in MainTableView this doesn't work and I would still have the problem of communication with the controller.

It would be optimal for the BINDINGS to execute a method I have in MainTableController but I don't know if this would be possible.

What am I doing wrong conceptually?