Legalese is nowhere near precise, and we have a whole very expensive system because it’s not precise.

It is an attempt the be precise, and to remove doubt. But you're right that doubt still creeps in.

Doubt still creeps in? The entire purpose of the Judiciary branch across all governments that possess one is the interpretation of legal documents. It’s one of the greatest sources of uncertainty in human governance.

Legalese already exists in software engineering. Several dialects of it, in fact. We call them programming languages.