The President has no power to propose new laws in the way "that members of congress enjoy."

See Article 1, Section 1:

All legislative Powers herein granted shall be vested in a Congress of the United States, which shall consist of a Senate and House of Representatives.

See also the absence of any legislative authority in Article 2.

Of course, rhetorically, and through person-to-person discussion, the President can "propose" whatever they want. There are often discussions between the White House and the controlling party in Congress. Such proposals though are nothing like the power that "members of congress enjoy" (or more precisely, that Congress enjoys).

The President has no power to propose new laws in the way "that members of congress enjoy."

See Article 1, Section 1:

All legislative Powers herein granted shall be vested in a Congress of the United States, which shall consist of a Senate and House of Representatives.

See also the absence of any legislative authority in Article 2.

Of course, colloquially, the President can "propose" whatever they want, including by from "time to time giv[ing] to the Congress Information of the State of the Union, and recommend[ing] to their Consideration such Measures as he shall judge necessary and expedient" (Article II, Section 3). There are often discussions between the White House and the controlling party in Congress. All such proposals though are nothing like the power that "members of congress enjoy" (or more precisely, that Congress enjoys).