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

Yes.

The word "teste" is identical in meaning, spelling, and grammatical function in both Brazilian and Continental Portuguese. The only difference is in pronunciation. In Brazilian Portuguese, the vowels are typically more open and clearly articulated. In Continental Portuguese, unstressed vowels are often more closed or reduced, which can make the word sound more "clipped" or muffled to a Brazilian ear.

Brazilian Portuguese Examples

1. Eu preciso fazer um teste de visão. (I need to take a vision test.)
2. O teste de matemática foi muito difícil. (The math test was very difficult.)
3. Fiz um teste de COVID ontem. (I took a COVID test yesterday.)
4. A empresa está fazendo um teste com o novo software. (The company is testing the new software.)
5. Ele passou no teste de direção. (He passed the driving test.)

Continental Portuguese Examples

1. Tenho de fazer um teste de visão. (I have to do a vision test.)
2. O teste de matemática foi bastante difícil. (The math test was quite difficult.)
3. Fiz um teste de COVID ontem. (I did a COVID test yesterday.)
4. A empresa está a fazer um teste com o novo software. (The company is doing a test with the new software.)
5. Ele passou no teste de condução. (He passed the driving test.)