How to remove extra paragraph tag after a text inset in Framemaker 2019

@eloeso - Nope. Still happens, and it's a long-standing thing with FrameMaker. I found a post by Richard Combs on the frameusers mailing list back in 2011 that explains this.

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No "extra blank paragraph" is created (and certainly not "sometimes" as if it were a random event) when you import a text inset. This belief stems from a fundamental failure to understand how FM handles text insets. The "extra blank paragraph" is the empty paragraph in which your cursor was sitting when you imported the text inset.

A text inset is something like an anchored frame or table. It sits in the flow as a zero-width object at the spot where you inserted it, i.e., the "container" paragraph. You can demonstrate this to yourself by putting the cursor at the end of the paragraph before the text inset and then pressing the right arrow key repeatedly. You'll see that a single key-press moves the cursor from just before the text inset to just after. Type some text after the inset, then triple-click somewhere in that text to select the entire paragraph. You'll see that the text inset, like the rest of the paragraph that contains it, is selected.

Since the text inset source is a complete flow, it necessarily ends with a paragraph end. So the "extra" space is the result of two paragraph ends in a row: the end of the last paragraph in the text inset source and the end of the empty container paragraph into which you inserted it. The run-in paragraph solution that post outlines is one way to eliminate the "extra" space. Another is to not insert the text into an empty paragraph; instead, insert it at the beginning of the text that should immediately follow the text inset. 

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NB: The "that post" he refers to was a solution posted to the freeframers list, which no longer exists and its archives are now gone. I do not know the contents of that post. He goes on to suggest inserting a non-breaking space between the inset container and the paragraph pilcrow, but that has never worked for me. The inset shows above the containing paragraph, always, so it appears you have an extra, empty paragraph.

Making a paragraph tag to hold the inset and setting it as a run-in paragraph works in that you won't have two blank lines in a row, but you will still have a blank paragraph. You said that there's no text after the inset, so unless this is pushing you over to a new page, I wouldn't worry about it. 

A text inset has to be anchored in a paragraph in the container document. That is why you see an "extra" paragraph in the container. The best approach is to make a dedicated anchor paragraph format that is small and won't cause you formatting problems.