(blush)
I must admit that I would have struggled without having studied (and learned from) everyone else's efforts in the previous escapology challenge.
Especially one of Kuzya's solutions, of which "trapeze" is suspiciously similar.....
I thought tuning the second swing for the perfect approach velocity to the gap was a key factor. But the cloth damper that regulates the bounce is another idea I've borrowed.
In short, it feels like I've used everyone else's ideas. Thanks for the help, everyone.
And as for Paolo's devious solution,
One of the rim anchors is moved slightly outwards, just beyond the portal. Quite easy to see when you realise what you're looking at.