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

Yes

The spelling, meaning, and grammatical function of "braços" are identical in both Brazilian and Continental Portuguese. The only difference lies in pronunciation. In Brazilian Portuguese, the vowels are generally more open and clearly articulated, and the "s" at the end is often pronounced as a soft [s] or [ʃ] depending on the region. In Continental Portuguese, unstressed vowels are much more reduced (often sounding almost silent), and the "s" at the end is almost always pronounced as a "sh" sound ([ʃ]).

Brazilian Portuguese Examples

1. Eu cansei os meus braços na academia. (I tired my arms at the gym.)
2. Ela me deu um abraço muito forte. (She gave me a very strong hug.)
3. Meus braços estão doendo muito hoje. (My arms are hurting a lot today.)
4. Ele levantou os braços para comemorar o gol. (He raised his arms to celebrate the goal.)
5. Os braços daquela poltrona estão quebrados. (The arms of that armchair are broken.)

Continental Portuguese Examples

1. Eu cansei os meus braços no ginásio. (I tired my arms at the gym.)
2. Ela deu-me um abraço muito apertado. (She gave me a very tight hug.)
3. Os meus braços estão a doer muito hoje. (My arms are hurting a lot today.)
4. Ele levantou os braços para celebrar o golo. (He raised his arms to celebrate the goal.)
5. Os braços daquela poltrona estão partidos. (The arms of that armchair are broken.)