The braid that runs along every line where the covering meets the gilded wood is stitched on by hand, and it would be far quicker to glue it.
Braid has a job: it covers the line of tacks that hold the covering to the frame, and it makes a clean edge between fabric and show wood. On most furniture it is simply glued down, and on most furniture that is fine.
Not here. This frame is gilded, and gilding is a thin surface over a prepared ground. Adhesive on gold does not stay on the braid - it bonds to the leaf. When the braid is eventually replaced, and it will be, because braid is the first thing on any upholstered piece to fade or fray, pulling it off takes the gilding with it. What was a simple job becomes a re-gilding job.
So the braid here is stitched, with a curved needle, through the edge of the braid and into the covering behind it, close enough that no stitch shows. Nothing touches the gold at all.
When the time comes, the stitching is cut and the braid lifts away, leaving the gilded surface exactly as it was.