You don’t seem to understand LUCA at all.
The webpage you cited only say that these are all tetrapods - 4 limbs, not that humans from birds. That your misunderstanding of the website.
Humans are mammals not birds, and certainly didn’t evolve from birds.
Where does it say in that webpage, agreed with your claim?
Humans as with other mammals, have mammary glands, birds and lizards don’t. Mammals grow hair or fur, not feathers. Aside from bats, most (mammals) don’t have wings, nor keel bone, which enabled birds for powered flight. Humans like most mammals (except with platypuses and echidnas) give live birth after period of growing in fetuses female wombs, while birds (like reptiles) lay their eggs.
The most common & obvious traits (in today, extant groups) that are shared by mammals, reptiles, birds, and even amphibians, is that they all have vertebrae (hence vertebrates) and 4 limbs (hence tetrapods).
The biggest differences between amphibians and that of mammals, reptiles & birds, is that amphibians do lay their eggs too, except they lay them in water, while reptiles and birds do so on dry lands, hence amphibians are known as anamniotes, like fishes are anamniotes, as fishes too lay their eggs in aquatic or marine environments.
Mammals, reptiles and birds are amniotes, with mammals give live birth, excepting platypuses and echidnas, which lay their eggs on dry lands as reptiles and birds do. Marine mammals like whales, dolphins & porpoises give live birth.
Amniotes are organisms that belonged to the clade Amniota, all mammals and reptiles belong this group, they are all amniotes. But the ancestors to both mammals and reptiles, there were divergence between 319 & 330 million years ago, that the tetrapod amniotes diverged into clades -
- clade Sauropsida
- clade Synapsida
The synapsids are amniotic tetrapod vertebrates that include all animals that belonged to the extinct pelycosaurs & therapsids, the extant mammals.
Synapsids, like mammals, are recognisable by their skulls of only having 1 hole behind each eye orbits, these holes are called “temporal fenestrae”.
Sauropsida include the class Reptilia, in which Reptilia can be divided into 2 main groups or clades:
clade Archosauria are all “diapsid” sauropsid reptiles that have 2 holes (temporal fenestrae) behind each eye orbits. And the archosaurs can be broadly 2 clades:
(A) clade Pseudosuchia, which included all extinct relatives, as well as extant order Crocodilia, hence crocodiles.
(B) clade Avemetatarsalia, which included all
pterosaurs, order Pterosauria
dinosaurs. Of the dinosaurs, all non-avian dinosaurs became extinct, while most avian dinosaurs also became extinct, except those that have avian dinosaurs evolved into birds.
(C) Turtles and tortoises belonged to the order Testudines, was formerly placed in Lepidosauria group with lizards and snakes (order Sqamata), but molecular studies have shown that the turtles & tortoises were related closer to other archosaurs, hence biologists recognised the Testudines belonged to Archosauria. But unlike all archosaurs that have 2 holes (temporal fenestrae), turtles have no holes behind the eye sockets. So grouping turtles with archosaurs are no so clear cut.
clade or superclass Lepidosauria of which only 2 orders have survived:
(A) order Rhynchocephalia, of which only the tuatara is the only living species, inhabiting New Zealand.
(B) order Squamata, includes all lizards and snakes.
Despite the term “lizard”, technically, biologically & genetically, dinosaurs and crocodiles are not lizards. They are all reptiles, but not all reptiles are lizards, even though in the 19th century, Richard Owen coined the term dinosaur which means “terrible lizards“.
The points are that tetrapods are not the only physical traits that identified relations between vast numbers of tetrapods, there are also vast number of differences that separate them. Humans and birds do have something in common, but humans didn’t evolve from birds, as their ancestors diverged long ago, between the Synapsids (mammals) and Sauropsids (reptiles including the archosaurs that birds belonged to).
What you are claiming is not possible, and more to the point, you have misunderstood the link you have posted.