We report a well-resolved 0.7 conductance anomaly at $G=0.7\times (2e^2/h)$ in bilayer $\mathrm{graphene}/{\mathrm{WSe}}_2$ quantum point contacts. Proximity-enhanced spin-orbit coupling splits the fourfold ground state of bilayer graphene into well-separated spin-valley locked Kramers doublets. The anomaly emerges between these opposite spin-valley states. Despite fundamentally different band structure and wave function characteristics, the temperature and bias phenomenology closely mirror GaAs systems. In contrast, the parallel magnetic field response differs significantly, confirming the central role of valley degrees of freedom. This opens new pathways to study valley-exchange correlation physics in regimes inaccessible to conventional semiconductors.

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• Ballistic transport
• Quantum transport
• Spin-orbit coupling
• Bilayer graphene
• Dichalcogenides
• Point contacts
• Dilution refrigerator
• Transport techniques