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

Yes

The word "cozida" is the feminine singular past participle of the verb cozer (to cook or to boil). In both Brazilian and Continental Portuguese, it functions identically as an adjective meaning "cooked" or "boiled," and it can also serve as a noun in specific culinary contexts. There are no differences in meaning, spelling, or grammar between the two dialects. The only differences are phonetic: Brazilian Portuguese typically features more open vowels and a more melodic, syllable-timed rhythm, while Continental Portuguese uses more closed, reduced vowels and a more stress-timed rhythm.

Brazilian Portuguese Examples

1. A batata está cozida. (The potato is cooked.)
2. Eu gosto de cenoura cozida no almoço. (I like cooked carrot at lunch.)
3. A carne cozida ficou muito macia. (The cooked meat became very tender.)
4. Ela preparou uma sopa de legumes cozida. (She prepared a cooked vegetable soup.)
5. A massa não está bem cozida. (The pasta is not well cooked.)

Continental Portuguese Examples

1. A batata está cozida. (The potato is cooked.)
2. Eu gosto de cenoura cozida no almoço. (I like cooked carrot at lunch.)
3. A carne cozida ficou muito macia. (The cooked meat became very tender.)
4. Ela preparou uma sopa de legumes cozida. (She prepared a cooked vegetable soup.)
5. A massa não está bem cozida. (The pasta is not well cooked.)