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Redirecting the output of show() to a file?

Consider the tree

t = Permutation([1, 3, 2, 6, 8, 9, 5, 7, 4]).increasing_tree().as_ordered_tree()
show(t)

The output is a TeX-tikzpicture. I want to post-process this picture at the TeX level (for a motivation see my last question).

To do so I have to manually copy and paste the output in some editor. It would be much easier if I could redirect the output into a text file and proceed from this file.

Is it possible to do so?