Handling all but one exception

The answer is to simply do a bare raise:

try:
    ...
except NoChildException:
    # optionally, do some stuff here and then ...
    raise
except Exception:
    # handling

This will re-raise the last thrown exception, with original stack trace intact (even if it's been handled!).

New to Python ... but is not this a viable answer? I use it and apparently works.... and is linear.

try:
    something
except NoChildException:
    assert True
except Exception:
    # handling

E.g., I use this to get rid of (in certain situation useless) return exception FileExistsError from os.mkdir.

That is my code is:

try:
  os.mkdir(dbFileDir, mode=0o700)
except FileExistsError:
  assert True

and I simply accept as an abort to execution the fact that the dir is not somehow accessible.

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