Hmmm.
Okay, as to the branches, I must indeed admit I based these on images resulting from extensive searching. Here are some screenshots showing the basis of my logic:
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Looking at your image, I see a thorny vine... I would have hesitated, due to fear of damage to the feet via punctures, I do have vines of that caliber growing here, as well as grape - which had been planned for harvesting for her when I could get out to the vines.
I also have twigs at my disposal, from thorny Bois-d'arc to thorny honey locust, nonthorny hackberry, to juniper, cedar elm, peach, wild plum, and apple. Which would be best? Again, I must admit, I see her bask upon this main trunk, as well as hanging by her tail from it when being "forced" to feed herself from her cup, on the days I do not hold it for her.
As for the mango, impending kiwi, kale, and collards, it was read that she could eat that which is used to gutload, yet you however speak otherwise... Which is true? She does seem to be enjoying the vegetation, even to eating the mango from my fingers, before I could place it on the branch (yet another reason for the broadness of said offensive branch).
I am willing to do what is best for her within my abilities.