Select the table and use the Convert Table to Text with tab as the separator
and then change the tab settings to those of your column headings.

Thank you, this is very helpful. However, I need to do this for 144 tables
[4/page, 36 pages]. If I understand you correctly, the way above would
involve having to painstakingly set 8 tabs for every one of the 144
selections that I will be pasting.

Is there a way to make the selection adapt the tab structure of the
paragraphs that are already present on the page I am pasting this selection
into?

Thank you!