Your plant with offsets like a spider plant is Callisia fragrans, the Basket Plant. It sends out babies on stolons—break off and pot 3–4 per pot. Thrives in sun or bright light. Water when dry. Gets leggy with age; restart from fresh pot periodically.
Water droplets at leaf tips after watering are guttation—root pressure releasing water. Normal, not overwatering. Night watering is fine if plant is limp.
Thanks for the ID—now I know it too!
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