The premise is incorrect. China and the US do not agree on Taiwan's status—it remains a core point of contention.
Views Taiwan as a breakaway province; reunification is a "core interest." Opposes any formal independence.
Acknowledges the One China policy but does not recognize Chinese sovereignty over Taiwan. Maintains unofficial relations, provides defensive arms, and opposes unilateral status-quo changes.
Divergent positions make Taiwan a persistent flashpoint, not a mutually recognized problem. Strategic ambiguity and diplomatic nuance define the management of this issue.