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

Yes

The word "tradições" is identical in meaning, spelling, and grammatical function in both Brazilian and European Portuguese. The only differences are phonological (pronunciation). In Continental Portuguese, the final "s" is almost always pronounced as a "sh" sound [ʃ], and the unstressed vowels tend to be more closed or neutralized. In Brazilian Portuguese, the pronunciation of the final "s" varies by region (often sounding like "s" in the South/Southeast or "sh" in Rio de Janeiro), and the vowels are generally more open and melodic.

Brazilian Portuguese Examples

1. Eu amo nossas tradições. (I love our traditions.)
2. As tradições do meu estado são muito bonitas. (The traditions of my state are very beautiful.)
3. Queremos manter nossas tradições vivas. (We want to keep our traditions alive.)
4. Essas tradições são muito antigas. (These traditions are very old.)
5. Ele esqueceu as tradições da sua cidade. (He forgot the traditions of his city.)

European Portuguese Examples

1. Eu amo as nossas tradições. (I love our traditions.)
2. As tradições da minha região são muito bonitas. (The traditions of my region are very beautiful.)
3. Queremos manter as nossas tradições vivas. (We want to keep our traditions alive.)
4. Estas tradições são muito antigas. (These traditions are very old.)
5. Ele esqueceu as tradições da sua cidade. (He forgot the traditions of his city.)