(hello Steffen!)
I assume the quote below is taken from
https://www.dailywritingtips.com/bail-out-vs-bale-out/CadastreToulous is right that there has been a lot of debate about the difference in spelling. However, please note that "it is nonstandard in America to use" bale, as the "metaphor in the US is to compare oneself when jumping out of a plane to a bucket of water being tossed out of a boat, though that is probably not the origin of the phrase."
https://brians.wsu.edu/2016/05/19/bail-bale/Confirmed by Merriam-Webster and this one:
"The comparatively huge increase in bale out in BrE sources during the Second World War would indicate that aircraft were baled out of; changing the plot to include of in the phrases searched yields a graph of very similar shape.
By comparison, American English shows a similar hump for bail out during WW2, but bale out has always been less popular. The scale is the same as the first chart: note how bale is still relatively popular in BrE even now."
https://english.stackexchange.com/questions/542474/in-britis...Don't know whether asker needs UK or US English, so this info might prove useful.
Best wishes