President Joe Biden’s latest leap into the Senate’s up-and-down efforts to clinch a bipartisan $1 trillion infrastructure deal comes with even more at stake than his coveted plans for boosting road, rail and other public works projects.

The outcome of the infrastructure deal, which for weeks has encountered one snag after another, will affect what could be the crown jewel of his legacy. That would be his hopes for a subsequent $3.5 trillion federal infusion for families’ education and health care costs, a Medicare expansion and efforts to curb climate change.