Is the word sorte the same in Brazilian and European Portuguese?

Yes

The word "sorte" is identical in meaning, spelling, and grammatical function in both Brazilian and Continental Portuguese. The only difference lies in pronunciation.

In Brazilian Portuguese, the vowels are generally more "open," and the unstressed final "e" is often pronounced as a clear, light "i" sound (e.g., sounding like sorti). In Continental Portuguese, unstressed vowels are much more heavily reduced or "closed," meaning the final "e" is often nearly silent or extremely short, and the overall rhythm of the word is more compressed.

Brazilian Portuguese Examples

1. Que sorte você tem! (How lucky you are!)
2. Eu tive muita sorte de ganhar esse prêmio. (I was very lucky to win this prize.)
3. Boa sorte com o seu novo emprego! (Good luck with your new job!)
4. Ela tem muita sorte de ter você por perto. (She is very lucky to have you nearby.)
5. Foi pura sorte encontrar você no shopping. (It was pure luck to run into you at the mall.)

Continental Portuguese Examples

1. Que sorte tens tu! (How lucky you are!)
2. Tive muita sorte de ganhar este prémio. (I was very lucky to win this prize.)
3. Boa sorte com o teu novo emprego! (Good luck with your new job!)
4. Ela tem muita sorte de te ter por perto. (She is very lucky to have you nearby.)
5. Foi pura sorte encontrar-te no shopping. (It was pure luck to run into you at the mall.)