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Best Carpet Plant For Beginner Betta Owners
Look at the title
Since you're a beginner, I'm assuming you have a low tech setup without high light or CO2. If that's the case, you don't have many options in terms of carpeting plants.
Some species of hydrocotyle like hydrocotyle tripartita might be a good bet, but it will grow taller than it would in a high light tank.
Most species of plants will do fine with bettas. If you explore your search on the webs, you will hit tonnes of info.