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

Yes

The only differences between the use of "político" in Brazilian Portuguese and Continental Portuguese are phonetic.

• Pronunciation: In Brazilian Portuguese, the "t" in "político" is often palatalized, meaning it sounds like the "ch" in "cheese" (e.g., po-lee-chee-ko), especially in the Southeast regions. The vowels are generally more open and clearly articulated. In Continental Portuguese, the "t" remains dental (the tongue touches the teeth), and the unstressed vowels are much more reduced or "closed," making the word sound more clipped or even slightly swallowed.
• Meaning, Grammar, and Spelling: There are no differences in meaning, grammar, or spelling. In both variants, the word functions as a noun (meaning "politician") and an adjective (meaning "political" or "tactful/diplomatic").

Brazilian Portuguese Examples

1. Aquele político não é confiável. (That politician is not trustworthy.)
2. Precisamos de um plano político para a cidade. (We need a political plan for the city.)
3. O debate político foi muito agitado ontem. (The political debate was very agitated yesterday.)
4. Ele é um político muito conhecido na região. (He is a very well-known politician in the region.)
5. Essa foi uma decisão puramente política. (That was a purely political decision.)

Continental Portuguese Examples

1. Aquele político não é de confiança. (That politician is not trustworthy.)
2. É necessário um compromisso político firme. (A firm political commitment is necessary.)
3. O panorama político está muito instável. (The political landscape is very unstable.)
4. Ele é um político de longa data. (He is a long-time politician.)
5. O debate político foi bastante aceso. (The political debate was quite heated.)