New name for *compilation* buffer running a Python script

[sebhahn]

I've tried to add the following hook, which renames the *compilation* buffer every time I run a Python file using SPC m c c.

(with-eval-after-load 'compile
  (add-hook 'compilation-mode-hook
    (lambda ()
    (rename-uniquely)
    (setq buffer-read-only nil))))

However, I'd like to use this hook only for a "copy/second" python-execute-file function (I mean this one), e.g. bind on SPC m c n) and use the current python-execute-file function without the hook, i.e. its normal behavior only allowing one *compilation* buffer without creating a new one.

What would be the best way to do that?

I saw in the documentation that the buffer name is set by a function defined in compilation-buffer-name-function. Is it possible to temporary define the function inside python-execute-file or are hooks the better/preferred way to achieve this?