IAU Dwarf planet definition Point 2.b - is not a satellite I am a bit confused with point 2.d of the IAU's resolution on dwarf planets.

(2) A &quot;dwarf planet&quot; is a celestial body that
(a) is in orbit around the Sun
(b) has sufficient mass for its self-gravity to overcome rigid body forces so that it assumes a hydrostatic equilibrium (nearly round) shape
(c) has not cleared the neighbourhood around its orbit
(d) is not a satellite.

http://www.iau.org/static/resolutions/Resolution_GA26-5-6.pdf
I notice that a lot of websites exclude this point all together? Some of
them even rather combine it with point 2.a ? Like over here
Feels a bit redundant, since orbits the sun implies not orbiting a planet?
Or am I missing something here?
Or am I missing something here?


Yes. You are missing the word "Sun". The IAU did not want to tackle the problem of how to categorize exoplanets. There are only eight planets in the entire universe, plus a good number of (five and counting) dwarf planets. An expoplanet orbiting Alpha Centauri is not a planet or a dwarf planet, per the IAU definition. Some hypothesize that the early solar system contained five giant planets, but one of them was expelled. That rogue giant planet, if it exists, is not a planet per the IAU definition.

You are treating the word "orbit" as if it's a mutually exclusive term. It's not. The Earth's Moon, for example, orbits the Earth and it orbits the Sun. But since the Moon is a satellite of the Earth, it's not a planet or a dwarf planet. Side note: the concept of what distinguishes a "satellite" from a non-satellite is not defined.