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

Yes

The spelling, meaning, and grammar of "champanhe" are identical in both Brazilian and Continental Portuguese. The only difference lies in pronunciation:

• Brazilian Portuguese: The "am" is a nasal vowel ([ɐ̃]), and the final "e" is typically pronounced as a soft "i" ([ʃɐ̃.pa.ɲi]). The rhythm is more syllable-timed, making the vowels more open.
• Continental Portuguese: The vowels are more closed and reduced. The "am" sounds more like a nasalized "a" followed by a subtle "m" sound, and the final "e" is often almost entirely swallowed or reduced to a very short, unreleased sound ([ʃɐ̃.pɐ.ɲi]).

Brazilian Portuguese Examples

1. "Vamos brindar com uma taça de champanhe?" (Shall we toast with a glass of champagne?)
2. "O champanhe estava bem gelado." (The champagne was very cold.)
3. "Comprei uma garrafa de champanhe para a festa." (I bought a bottle of champagne for the party.)
4. "Ela adora tomar champanhe no Ano Novo." (She loves drinking champagne on New Year's Eve.)
5. "O champanhe combina muito bem com frutas." (Champagne goes very well with fruits.)

Continental Portuguese Examples

1. "Vamos fazer um brinde com uma taça de champanhe?" (Shall we make a toast with a glass of champagne?)
2. "O champanhe estava bastante fresco." (The champagne was quite fresh/cold.)
3. "Comprei uma garrafa de champanhe para a celebração." (I bought a bottle of champagne for the celebration.)
4. "Ela gosta de beber champanhe na passagem de ano." (She likes to drink champagne on New Year's Eve.)
5. "O champanhe harmoniza muito bem com as frutas." (Champagne harmonizes very well with the fruits.)