CDC: Mask Order Will Be 'Further Enforced' by 'Federal Authorities'

First, from the article:
CDC: Mask Order Will be ‘Further Enforced’ By ‘Federal Authorities’

The Centers for Disease Control and Prevention’s (CDC) latest order, requiring individuals to wear masks when using public transportation or residing in transportation hubs, will be “further enforced by other federal authorities,” the agency announced in its order, which went into effect this week.

Under the order, individuals are required to wear masks while using public transportation, which includes “awaiting, boarding, disembarking, or traveling on airplanes, ships, ferries, trains, subways, buses, taxis, and ride-shares as they are traveling into, within, or out of the United States and U.S. territories,” per the CDC.
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Now, compare that too:
Powers of the Federal Government
The powers of the federal government, while limited to those enumerated in the Constitution,7 have been interpreted broadly, so as to create a large potential overlap with state authority. For instance, Article I, Section 8, cl. 18 provides that "[t]he Congress shall have power ... To make all laws which shall be necessary and proper for carrying into Execution the foregoing Powers, and all other Powers vested by this Constitution in the Government of the United States, or in any Department or Officer thereof." Early in the history of the Constitution, the Supreme Court found that this clause enlarges rather than narrows the powers of Congress.8

Congress has broad financial powers, including the power to tax and spend in order to pay debts and provide for the common defense and general welfare of the United States.9 Congress also has the power to borrow money and to appropriate money from the United States Treasury.10 The purposes for which Congress may tax and spend are very broad and are not limited by the scope of other enumerated powers under which Congress may regulate.11 On the other hand, Congress has no power to regulate "for the general welfare," but may only tax and spend for that purpose.

Congress also has broad authority over the commercial interests of the nation, including the power to regulate commerce,12 to establish bankruptcy laws,13 to coin money,14 to punish counterfeiters,15 to establish post offices and post roads,16 and to grant patents and copyrights.17 The Commerce Clause, discussed in more detail below, is one of the most far-reaching grants of power to Congress. Regulation of interstate commerce covers all movement of people and things across state lines, including communication and transportation.

Congress has broad powers over citizenship, including the power to define the circumstances under which immigrants may become citizens,18 and to protect the rights of those persons who have citizenship. The Fourteenth Amendment gives Congress the power to enforce the guarantees of the Fourteenth Amendment, including the right to due process and equal protection.19 This power extends specifically to the power of Congress to protect the rights of citizens who are at least 1820 to vote regardless of race, color, previous condition of servitude,21 or sex.22 Congress may also regulate the time, place, and manner of federal elections,23 and judge the result of such elections.24 Congress also has a number of other powers relating to elections and appointments.25

Congress has the power and authority to purchase and administer property, and has power over those jurisdictions that are not controlled by states, such as the District of Columbia and the territories.26 Congress is limited by the Fifth Amendment, however, in the taking of private property without compensation.27 Congress has numerous powers related to war and the protection of the United States and its sovereign interests.28

https://www.everycrsreport.com/reports/RL30315.html
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So, how much authority does the Federal Government have - outside of "as much as we let them take"?