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

Yes

The word "disco" is identical in meaning, spelling, and grammar in both Brazilian and Continental Portuguese. It refers to a music album, a physical or digital disc (such as a hard drive), or the athletic discus. The only difference is in pronunciation: Brazilian Portuguese tends to use more open vowels and a more syllable-timed rhythm, whereas Continental Portuguese features more closed or even reduced vowels, particularly the unstressed or final "o," which can sound almost like a "u" or become nearly silent in rapid speech.

Brazilian Portuguese examples:

1. Eu comprei um disco de vinil novo. (I bought a new vinyl record.)
2. O cantor recebeu um disco de ouro. (The singer received a gold record.)
3. O disco rígido do computador está cheio. (The computer's hard drive is full.)
4. O lançamento de disco é uma prova olímpica. (The discus throw is an Olympic event.)
5. Este disco de música disco é muito bom. (This disco music album is very good.)

Portuguese (Portugal) examples:

1. Comprei um disco de vinil novo. (I bought a new vinyl record.)
2. O cantor recebeu um disco de ouro. (The singer received a gold record.)
3. O disco rígido do computador está cheio. (The computer's hard drive is full.)
4. O lançamento de disco é uma prova olímpica. (The discus throw is an Olympic event.)
5. Este disco de música disco é muito bom. (This disco music album is very good.)