She'll touch down, then, and transform a section of the gondola wall into a set of steps that she'll then sit on.
So, the basic thing to understand about ownership is that each person - each Crafter, thinking animals largely don't do this kind of thing and couldn't do it this way in any case - has their own design that they put on any objects they claim, and that they use to mark the edges of their territory. Hers is blue with clouds, for example, and Weeping Cherry can tell from that that the airship and the signboard and her clothes are hers. The monoliths by the tunnel entrance mark that as the start of her territory. She should never touch someone's things or enter someone's territory without their explicit, in-that-moment permission; Crafters basically can't do that, under normal circumstances.
There's also various ways of marking something as un-owned; territory is rarely marked like that, at least around here, but objects or parts of objects will be if it's okay for anyone who happens to come by to interact with them. The local custom for it is for those things to be made or marked in a plain hematite-grey color. If something is partly hematite-grey and partly some other color, she can interact with the hematite-grey part but nothing else; if it's entirely hematite-grey, and she doesn't need to interact with anything of another color or pattern to get to it, she can just have it. If she goes far from here they might use another color to designate things as un-owned; that's usually a shade of grey, or a plain earth tone of some sort, but if she's at all unsure she should ask, and if it's not a plain single grey or earth toned color she should assume it's not unclaimed.
- she should also not touch people without their explicit in-the-moment permission, outside of medical emergencies where they might die otherwise or similarly dire situations; even then it's likely to really mess them up and she should try to avoid it if at all possible. This again only applies to Crafters, thinking animals aren't like that.
If someone invites her into their territory she should still not go anywhere or touch anything they haven't invited her to; the exception to this is that she's always allowed to leave, by the shortest path she knows and without dawdling.
For the flight, she's going to recolor part of her ship to hematite-grey for Weeping Cherry to use; she expects her to stay in that area and might lose the ability to fly the ship if she leaves it. Is that clear and something Weeping Cherry expects to be able to abide by?