thanks for your input, but unfortunately it did not make things clearer for me. To answer your question: Yes, I want the product always working well. Therefore I want the increment to be "Done" at the end of the sprint so that it can be released.
But I have still the open question about the definition of an Increment within the Scrum Guide.
I have also attached an image to make it clearer what I think the an Increment is:
It would be great if you guys could help me out with the confusion I currently have.
I have also looked into different dictionaries for an definition e.g. this definition :
something gained or added
which does not fit to the definition of an increment in the Scrum Guide.