I’d like one set of words for “tagline” in terms of what is posted on the header under the “title” and another set of words under “tagline” in terms of what comes up when the website is searched or shared. Can that be done?
The changes that you are looking forward to make requires customizing the theme. You would be able to do this by creating a child theme but you would need to know a bit of coding for that since this option is not shipped with the theme.
Please feel free to let us know if we can assist further for the same.