Hi @rigmor_anna_6020:
This is a macOS screen shot so will look different if on Windows, but you will have two save locations:

1. Save locally in the location of your choice (I'm showing my desktop)
2. Save on Adobe's cloud drive as a Cloud Document
However, the first time you save you will see a different dialog box, prompting you to save as a Cloud Document (and encouraging it, truthfully) which may be the source of your confusion. And then InDesign remembers how you saved or opened your most recently accessed document and will continue to present you with the same experience until you select otherwise. Choose On Your Computer to get the options shown in my screen shot, above.

~Barb