What is the source? The common idiom is to have breakfast, not take breakfast, and it should be "He takes" not "He take".
Otherwise the article is fine. Some nouns that you may have been taught don't take articles, in this case the general concept of "breakfast", can still have specific examples which do take the article. The key is the adjective "heavy" which narrows down the meaning to a specific kind of meal:
They eat breakfast at 5 am every morning.
They eat a large breakfast at 5 am every morning.
She paints on canvas.
She paints on a canvas made from recycled greeting cards.
You'll find this general/specific pattern is quite common:
I like vegetables
I like the vegetables that Mary grows in her garden.
She studies philosophy.
She studies a philosophy of human relationships.