There is habitable and then there is habitable. The biosphere of the planet Earth, for example, contains many regions where life flourishes but where unprepared and unprotected humans would rapidly die.
The only scientific discussion of the possiiblity of human habitabile exoplanets is Habitable Planets for Man, Stephen H. Dole, 1964.
And of course Dole was using the science of 60 years ago in his calculations and estimates.
Other scientific estimates of the habitable zone of the Sun are for liquid water using lifeforms in general, not for for humans or other oxygen breathing lifeforms in particular. Earth had life for at least one billion year, and possibly for several billion years, before the era hunderds of milions of year ago when it first had enough oxygen in the atmopshere for large multicelled land animals - like dinosaurs or humans, for example - to survive. In fact the vast amjority of oxygen in Earth's atmosphere was produced by life, photosynthic plants.
Scientists know that life forms can survive on world where humans couldn't survive - that was the case on Earth for billions of years, and is still the case in many parts of Earth.
So scientific disussion of the habitabiity of other worlds include worlds without atmospheric and other conditions necessary for human survival, if other Earth like lifeforms could survive there.
There are about a dozen different estimates of the inner or outer edges, or both, of the suns's "Goldilocks zone" in this list:
And they differ quite widely. I note that some of the estimates which extend the inner or outer edges do so by assuming specific atmospheric densities and compositons. Such atmospheres would probably not be breathable by humans or by animals with similar requirements, but life that evolved in such atmospheres should be able to tolerate them.
Thus the human habitable zone of a star is likely to be a smaller subset of the liqud water using life habitable zone of a star.
So if someone now, in the year AD 2022, wants to know the limits of the circumstellar habitable zone of a speciific star, they should use the luminosity of that star relative to the sun to adjust the inner and outer limits of the Sun's circumstellar habitable zone to fit the other star's luminosity. And for better accuracy, they should use the inner and outer edges of the Sun's circumstellar habitable zone as accepted in the year AD 2122.
And if they don't have a time machine, they will be stuck with studying all the estimations and calculations of the Sun's circumstellar habitable zone so far and decide which seems most accurate to them.
I also note that a number of worlds in our solar system are known to have vast subsurface oceans of liquid water below massive world wide icecaps, and other worlds are suspected to have such subsurface oceans.
And it has been speculated that possibly there could be liuid water using lifeforms in those subsurface oceans. Those worlds all have ice surfaces due to being too cold for liquid water on their surfaces, and so are beyond the conventional definition of the Sun's circumstellar habitable zone.
If life can develop and survive in such subsurface oceans of icy worlds there oculd potentially be liquid water using life within hundreds of as yet undiscovered icy worlds in the outer solar system far beyond the habitable zone of the Sun.
As Wikipedia says:
In subsequent decades, the CHZ concept began to be challenged as a primary criterion for life, so the concept is still evolving. Since the discovery of evidence for extraterrestrial liquid water, substantial quantities of it are now thought to occur outside the circumstellar habitable zone. The concept of deep biospheres, like Earth's, that exist independently of stellar energy, are now generally accepted in astrobiology given the large amount of liquid water known to exist within in lithospheres and asthenospheres of the Solar System. Sustained by other energy sources, such as tidal heating or radioactive decay or pressurized by non-atmospheric means, liquid water may be found even on rogue planets, or their moons. Liquid water can also exist at a wider range of temperatures and pressures as a solution, for example with sodium chlorides in seawater on Earth, chlorides and sulphates on equatorial Mars, or ammoniates, due to its different colligative properties. Thus, the term Goldilocks Edge has also been suggested. In addition, other circumstellar zones, where non-water solvents favorable to hypothetical life based on alternative biochemistries could exist in liquid form at the surface, have been proposed.
So at the present time there seems to be considerable uncertainty about the distances from the Sun where a world could possibly, under some circumstances, have liquid water on parts of its surface.