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

Yes

The word "bruxa" is identical in both Brazilian and Continental Portuguese regarding its spelling, meaning, and grammatical category (noun). The only difference between the two dialects is the pronunciation. In Brazilian Portuguese, the vowels are typically more open and the rhythm is more melodic, whereas in Continental Portuguese, the vowels are more closed (reduced) and the pronunciation is more consonant-heavy and staccato.

Brazilian Portuguese Examples

1. Ela é uma bruxa de verdade! (She is a real witch!)
2. Minha vizinha é uma bruxa, vive reclamando de tudo. (My neighbor is a witch, she is always complaining about everything.)
3. A bruxa estava voando na vassoura. (The witch was flying on the broomstick.)
4. Não seja uma bruxa com as crianças. (Don't be a witch to the children.)
5. Aquela bruxa me deu um susto. (That witch gave me a fright.)

Continental Portuguese Examples

1. Ela é uma bruxa de verdade! (She is a real witch!)
2. A minha vizinha é uma bruxa, vive a reclamar de tudo. (My neighbor is a witch, she is always complaining about everything.)
3. A bruxa estava a voar na vassoura. (The witch was flying on the broomstick.)
4. Não sejas uma bruxa com as crianças. (Don't be a witch to the children.)
5. Aquela bruxa deu-me um susto. (That witch gave me a fright.)