Roots growing through drainage holes are normal for water-loving Cyperus papyrus — trim them periodically. But your plant is actually Dracaena marginata (dragon tree), which prefers dry conditions.
Cyperus (if it were)
Actual: Dracaena marginata
Root Management
Trim escaping roots now. Repot only when rootbound (April-August). Use well-draining soil.
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