After a bill is through the legislative process what occurs for it to be translated from the form it is in when it is debated in Congress to when it is "implemented" or written and published as a federal code?
For a concrete example I'm curious what happened in between
https://www.govinfo.gov/content/pkg/BILLS-104s1028is/pdf/BILLS-104s1028is.pdf (or whatever "final" / "passed" / "approved" version of this bill may exist)
and what I presume (based on information available in my textbook) to be the incarnation of the bill under various parts of title 45
I'm particularly curious as I understand laws have colloquial names (GDPR, HIPAA, CCPA) and then incarnation in statutory text. So HIPAA was the name of the bill, or Pub. L. 104–191, and it eventually took the form of various parts of Title 45? What is this process? Who is responsible for it? Is there are documentation of how this process occurs?