update docs/tutorial with latest syntax

[noajshu]

What is the task?

since det_order_bfs is no longer an argument we should update
but this is blocked on python3.13 support

also if we remove the <= 2 errors flag
#117

(Optional) Do you have ideas or preferences for the approach?

No response

How urgent is this for you?

None

[rosspeili]

Hey @noajshu is this closed? if not, would love to deep dive into docs and tutorials and clean them up.