Bromfenac 0.09% eye drops are anti-inflammatory medications, typically prescribed for post-surgery swelling. They are not the correct treatment for eye floaters, which are harmless gel clumps in the eye that drops cannot dissolve. Using these drops for a month without a doctor's prescription is not recommended; prolonged use can irritate your cornea, especially if you experience dry eyes from high screen time. Floaters are very common and usually benign. For your screen strain and floaters, I highly recommend consulting an eye specialist who can safely evaluate your eyes and suggest appropriate lubricating drops instead.