What's Starfleet Doing Over Here?

On many official Star Trek galaxy maps, there is this one area beyond the Romulan and Klingon space that seems isolated from the rest of the United Federation of Planets in the Beta Quadrant, yet is considered to be within their territory. So what is Starfleet doing out here and have we seen this on screens? Let's explore!

STAR TREK® Online developed by Cryptic Studios and Perfect World.
STAR TREK® and its trademarks (including Picard/Strange New Worlds/Lower Decks/Enterprise/Voyager/Deep Space Nine/Discovery and The Next Generation) are all owned by © Paramount Global Pictures/CBS Studios Inc. and distributed by CBS and Paramount Plus.
This Video is for critical purposes with commentary.

Outro Animation made by @icarogabriel17