Going with “common knowledge” can get you in trouble, or cause unneeded problems. I, too had heard the “three products rule” for many years before taking a job in the public sector, but once I was there, I found no requirement for it. In seven years at one agency, and two more at another, I never followed that “rule” and had no problems. The firm I work for now is working on a project for an agency that expressed a desire - not a requirement - to have three products, and they are quite willing to have fewer if we suggest.
Not all public agencies have the same requirements; you must ask each one what their policies are. You won’t always find what they tell you to do in statutes, either. Compounding the problem is the multitude of agencies that may affect a project; not all of them agree on how things should be done. In a given state, different agencies interpret the same statute in widely different ways, and if Federal funding is used, things can get messy. It isn’t just the number of products, either, but includes type of alternates (add or deduct or either one), order of selection of alternates, how to use basis of design products, use of prior approvals and post-award substitutions, sole sourcing, what the advertisement must include, and more.
It’s always good to look at the statutes, but the individual agency is calling the shots. If they require you do something that is not in the statutes, you should bring up the subject, but they’re in control.
Another interesting thing is state requirements for certification of documents. Some require one or more sets with wet signatures, some accept images of signatures, and some accept digital signatures. Some require signatures, whether wet or dry (?), on every drawing sheet, others only on the cover sheet. Some require a disclaimer on documents that are not final, others do not. And to make things really interesting, some states have one set of rules for architects and another for engineers. And despite what state statutes require, cities within a state often ask for something different from what the statutes require.