As noted, the incredible nano-chemical machinery in the cell is responsible for synthesizing DNA. But it is the DNA that carries the code that constructs and operates the cellular machinery. Which came first, the DNA that carries the information for producing each cell or the machinery in the cell produced by DNA, which must first make the DNA? Obviously, both had to exist simultaneously from the very beginning or neither would exist. That fact requires a creative act of God.
The genetic code has vital editing machinery, which is itself encoded in the DNA. What came first, the machinery that edits DNA or the DNA that produces the editing machinery?