This sentence is not actually incorrect - it is fine in terms of grammar.
You will see examples such as this in English literature if the texts were written a long time ago, and you may even find some in a few very outdated grammar books. You might also come across examples of 'much' used in this way in poetry, rhetoric and very formal situations even today.
However, it is very, very unusual in modern everyday English to use 'much' with as a quantifying adjective in an affirmative statement, especially in a statement as simple as this. To the modern ear, it sounds strange, archaic and stilted.
These days, we reserve 'much' for questions and negatives - "Do you drink much tea?", "How much tea do you drink?" and "I don't drink much tea" - and we don't use it for affirmatives. Instead, we use one of these determiners in neutral and informal situations:
I drink a lot of tea
I drink lots of tea
or one of these in more formal and written situations:
I drink a large amount of tea
I drink a great deal of tea
I hope that helps.