This is the 13th most frequent Italian word.
anche
"Anche" means "also" or "too" in English.
In this context, 'anche' functions as 'also,' emphasizing the addition of writing a letter to buying a gift.
Non solo ha comprato il regalo, ma ha anche scritto una lettera.
Not only did he buy the gift, but he also wrote a letter.
Here, 'anche' means 'also,' highlighting the additional skill of singing besides cooking.
Lei è brava a cucinare e canta anche molto bene.
She is good at cooking, and she also sings very well.
Here, 'anche' means 'also' and is used to include the speaker in the action described.