[Tkinter] Programmatically creating buttons that remember their positions

[Clunk_Head]

I'm looking to create buttons that remember where they are are in a 2D list. This way they can share a single function that takes their 2D list indices as parameters. Ultimately, I want the button to be able to manipulate its own text without having to have a separate reference for each button outside of the list and without having to have a separate function associated with each button.

The buttons display properly with the correct text, but the lambdas reference only the final values of grid_row and grid_column, so all buttons print "3, 3" when pressed.

from tkinter import *
root = Tk()
root.title(" ")
root.geometry("250x250+0+20")

def button_print(row, column):
    print(f"{row + 1}, {column + 1}")

buttons = []
for grid_row in range(3):
    button_row = []
    for grid_column in range(3):
        button = Button(root, text = f"{grid_row + 1} {grid_column + 1}",
                        command = lambda: button_print(grid_row, grid_column), width = 4, height = 3)
        button.grid(row = grid_row, column = grid_column, padx = (10, 10), pady = (10, 10))
        button_row.append(button)
    buttons.append(button_row)