Can you try it on the attached file above?
Sure. That's how I arrived at the steps I gave.
... I can see the greyed out line it added but after that I still can't delete the blank page.
You can never "delete" a page. OOo Writer does not allow you to manipulate pages at all. The page is there because there is document content that needs someplace to appear, so another page is needed. If you hide the final, empty paragraph, or make it small enough so that it fits on the same page as your table, the extra page is not necessary and it will not appear.
Make sure the option View > Hidden paragraphs is OFF, and also the print option to print hidden content.
You can accomplish the same thing by putting the cursor in the last, empty paragraph and changing the font size to "2" Just click in the font size display and edit the number, then press Enter. That makes the size of that final paragraph small enough to fit within the margins of the previous page.