[Avodah] Mitzvot That A Non-Jew Cannot Do

[Liron Kopinsky]

>See H. Melachim 10:9.

After looking at the Rambam he seems to have 3 categories:
1) Mila, which he says everyone is chayav in, since all goyim are Bnei
Keturah
2) Shabbat, being "Osek Batorah", and being "mechadesh Davar" which are
prohibitted to goyim.
3) Tzedakah, Korban Olah and other mitzvot in order to "mekabel schar",
which are permitted.
Where is the line between 2 and 3? What mitzvot are included in each of
these categories and what makes them uniquely different from each other?
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