https://en.numista.com/catalogue/pieces159.html
Those four references are for the French side of this site. The (fr) means on their pages those notes are written (without (fr) on them) and the first two are condition, and the other two are varieties. On the page just change en to fr to see the other version, like below. Sometimes on their pages they will see (en) on a page; it means on the French page there are no notes against the coin, but there are on the English page.
https://fr.numista.com/catalogue/pieces159.html
Just looking up what those four mean ...
From memory BE means Belle Epreuve [Proof ?] and BU means Brillant Universelle [which is
not Brilliant Uncirculated, I think]. The 28 or 29 means the number of ridges on the edge - a Numista member 'cobra' has his own good site with many varieties on, with pictures, and yours is on there ...
http://monnaiesetvarietes.zxq.net/FICHES/Portugal/PORTUGAL%201euro%202002%20KM%20746.pdf
The translation I got is 'tranche à 28 stries' equals 'portion 28 streaks' and I assume is ridges, but may mean the indentations between them, which would affect the count.
There is a page (with BE and BU) on the fore-mentioned French side, if you can get it translated ...
https://fr.numista.com/forum/topic3000.html