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Cheers for the suggestions and @Howard
The desk needs to fit a 34" widescreen monitor (plus keyboard, mouse, etc) so nothing too small/folding will work. Looks like 606 needs ~98cm as it needs a bit of space to either side to fit the pegs. There's a chance that could fit (can't remember whether the dimension for that alcove I'd knocked off the skirting width) but the desk is only 55cm deep which could be a bit shallow.
I hadn't thought of moving the sofa into the room, could open options up a bit more.
I do like the Togo chair, would be an option by the not that often used patio doors as it would be low enough to not block the windows. Not cheap though.
No TV in this room, my original plan was 60" tv on the chimney breast, surround sound and a reclining sofa but that was somehow vetoed.
IMO that’s always going to be a squeeze, but if you do want it all I think filling the alcoves with built in storage and a fold up and away desk is maybe your best option?
Togo chair top left corner, assuming the Serif TV is in the front room?
P.s. my og serif just broke 😭