The ending of Avatar: Fire and Ash closes Spider's story arc and leaves the Mangkwan, Varang and the RDA as open threats, so the saga is set up for further films. What follows reveals the finale and gives my opinion.
Quaritch throws himself off the floating rock after he and Jake work together to save Spider. Afterward, Spider connects with the underwater spirit trees and meets deceased Na'vi. Kiri introduces him to her mother, Grace, and the Na'vi formally take him in as one of their people.
The point I take from this is that the film answers a question Avatar: The Way of Water only raised: whether a human boy who grew up on Pandora can belong there. That earlier film ended with Quaritch learning Spider is his son, and this one pays that off by putting Jake and Quaritch on the same rock, caught in a magnetic flux, with only each other to rely on. In my opinion, that makes Spider the real center of the story, more than Jake.
Quaritch's act is harder to read. It could be argued that it is the first selfless choice he has made across three films, although the film shows only that he steps off the rock, and a character already revived once as a recombinant makes any final reading uncertain. Note, too, that Kiri's meeting with Eywa and her stopping Varang from killing Neytiri come just before it, so the finale gives the Sully family and Quaritch separate resolutions rather than one shared moment.
The naming of Grace is the quietest link in the ending. Sigourney Weaver played Grace Augustine in Avatar (2009) and now plays her daughter Kiri, so the scene in which Kiri introduces Spider to her mother joins the first film to the third. Few franchise entries tie back to their opening chapter that directly, and I count it as the most deliberate piece of continuity in the film.
The film also does not close its larger conflicts. Varang and her people remain armed with the firearms and flamethrowers Quaritch gave them, and the RDA still holds the fleet and the knowledge it wants. Cameron shot this film at the same time as the second, according to Wikipedia, which helps explain why the plot threads run straight across both rather than resetting. That is a tidy setup for Avatar 4, which is dated December 21, 2029 on Disney's release schedule according to reports, although that date is not studio confirmed. As such, I would treat any detail beyond the date as unsettled.