Intertwining intrinsic topological order with gapless collective modes remains a central challenge in many-body physics. We show that a quantum-Hall trilayer at ${\nu }_1={\nu }_2={\nu }_3=\frac{1}{3}$, tuned solely by the interlayer spacing $d$, realizes this goal. Large-scale density-matrix renormalization group calculations and a Chern-Simons field theory analysis reveal an intermediate “anyon-exciton condensate” separating the familiar ${\nu }_{\mathrm{tot}}=1$ exciton condensate ($d\to 0$) from three decoupled Laughlin liquids ($d\to \infty$). In this phase, neutral bi-excitons condense while a $\nu =\frac{2}{3}$ Laughlin topological order survives, yielding a Goldstone mode coexisting with fractionalized anyons. A Ginzburg-Landau analysis maps out the finite-temperature phase diagram. The anyon-exciton condensate can be experimentally verified through a vanishing double-counter-flow resistance and a fractional layer-resolved Hall resistance of $5h/2e^2$, both within reach of existing high-mobility trilayer devices.

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• Anyons
• Density matrix renormalization group
• Excitons
• Fractional quantum Hall effect
• Topological field theories
• Superfluids