The phase of Jason's experiment that holds the utmost significance for accurately showcasing the conservation of mass is:
The steel wool must undergo combustion within an airtight container or another enclosed system.
Using an airtight container ensures that no reactants (iron and oxygen) or products (iron(III) oxide and any gases produced) can escape during the combustion process. This setup allows for a precise measurement of mass before and after the reaction, effectively demonstrating the conservation of mass, as the total mass of the system will remain constant throughout the experiment.