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Computational exploration of inflation with non-minimal coupling Ω²=1+ξφ² and Jordan-frame potential V_J=1+aφ²+bφ⁴. Closed-form analysis shows the tree-level V_J(0)=1 term creates a local minimum in V_E(χ), traps the inflaton in eternal inflation (~10³⁶⁰ e-folds), and excludes the model at 7σ from Planck/ACT DR6.