You measured. You have the inches, right? If it is too much trouble to move the tv/cable line or get a router, you buy a sofa LESS than 102 inches : ) for the shortest wall . I would limit my self to 90 inches including arms. At that point? You put a desk under the window on the adjacent 160 inch wall. No more than 54 wide. And add an 8 x 10 rug.

I assume this isn't the only tv in your home, it's for kids. They'll flop anywhere, including the floor.

Or............. as drawing below"

You have a friend add /splice cable line , run it around to the other 160 inch wall. Mount the tv next to that window, which gives the tv a better look. You have more space there. Then get a sectional . As below . That can be UP to 102 inches on the 160 inch wall and up to 96 facing the tv wall.

It is all just inches ( and yes I wrote 72....you can fit 96 and not crowd the entry to the seating )It is drawn as 96"

You can print that, and take it shopping. Locally, so no mistakes in sizing occur

Or as Flo suggested, router..or splice that same cable line to get all the way to the 102 inch wall. and have basically the same sectional. Decide a firm location for tv, first.