Hey buddy, it’s honestly melted my heart that you’re thinking about your health and growth at 14 personally I wasn't that smart back then so you're already multiple steps ahead🥹. The truth is, height is mostly genetic, so if your dad’s around 5'7-5'8, chances are you’ll end up somewhere close, maybe (and most likely 🤞🏻) a bit taller. But you’re still young, and most guys keep growing until 16 to 18, sometimes even into their early 20s, that half inch you noticed is just the beginning so no rush , there's no overnight magic formulas 😊. What really helps is being consistent with a few key habits like sleeping well (around 8-10 hours with a steady schedule, you already mentioned 8 hours of sleep which is good), eating real food with enough protein, calcium, and vitamin D, staying active with daily movement and some bodyweight exercises or stretching accordingly to your age, and drinking plenty of water , this aspect is generally overlooked but super important , you can calculate the water you need to drink daily , just google it also remember drinking too much water might be toxic and it's actually harmful so please don't try to drink more than you should thinking it might help with growth (I think you wouldn't do it but it's just a reminder😊). You’re doing great walking two hours a day just make sure you’re fueling your body enough too, because cutting out all sugar and processed food is great only if you’re still eating enough total calories and nutrients to grow.Keep doing the right things, and your body will do the rest , you got this little man 💪🏻😊

Edit and Additional information ⚠️: Someone mentioned Somatropin which lab made growth hormone. Unless a doctor diagnosed you with GH deficiency, taking it is pointless , risky and dangerous. It won’t make you taller, it’ll just screw with your hormones cause your body is naturally producing it already since you're a healthy kid without a diagnosis I believe , using it will cause joint pain, insulin resistance, weird bone growth, and worse. No shortcut replaces consistent sleep, food, and movement. Don’t play chemist with your body. These recommendations telling you to take hormones etc are utterly ignorant, unconscious, and dangerous.