Thanks, but I do not think “Repeat for each image” is reasonable for a document with many images, while uncheck Allow overlap in my experience did not fix the issue of placing images next to others.
I have gone to many pages 1 2 3 4 5 6 7 8 9 10 relating to the inability to easily place images where you want them, at least in a document of many pages, and have found no consistent easy solution - meaning consistently and quickly - for doing so as part of a writer ODT with numerous images, usually along with text.
The best overall solution that I have presently found for a document of many pages with images and text close to another is to use To paragraph as the default, with the position being the default Entire Paragraph, though this may result in an image being partly off the page right margin (all my page margins are 0.30) when attempting to place an image close to another image. Yet if you quickly drag that image to the left of the place want it then it may stick there - unless you move it again, for then it snaps back, usually partly outside the document border).
Otherwise, choosing “To character” and with the horizontal position being Character can enable placement where you want, though if try you move it will revert back to the default “To paragraph,” and not where you want it.