“The lesson that this team learned, beginning with President Biden, from that experience is that there is a cost to waiting too long,” said Jay Carney, who worked for Biden before becoming Obama White House press secretary, and is now an executive at Amazon. “I think everyone is much more realistic about whether bipartisan cooperation is possible.” Biden, the aides and lawmakers say, believes action is more important than bipartisanship, and is convinced Americans will support him in his efforts. He recognizes that his window for this approach may close by the midterm elections. That’s why, the aides and lawmakers say, he may be willing to give up the reputation, cultivated over decades, as a dealmaking lawmaker if he can be a transformative president who pushes through a once-in-a-generation investment in infrastructure and social programs. The president will talk with Republicans about his new pair of proposed spending plans — a combined $4 trillion in spending designed to ignite economic recovery following the coronavirus pandemic — but he is prepared to back a congressional maneuver that would allow Senate Democrats to pass legislation without GOP support, perhaps within weeks, aides and lawmakers familiar with his thinking say.