Looks like a Sedum which would love more light. Hard to say which species, but with more light, should have more compact growth (& a better chance at getting a positive ID on it--could even be an xGraptosedum).

How deeply plant roots grow where they naturally occur (even if it's in a garden) isn't a genetic trait - it's a response to cultural conditions. For example, rhododendrons are well known for root systems that are >90% contained in the top 3" of soil, yet in a 20" deep container of well-aerated media, they happily colonize the entire root mass. Roots are opportunists. They don't grow toward water or nutrients, like most growers think, they simply don't grow where the supply of water, nutrients, or air are insufficient. If you use a medium that provides a rhizosphere that in its entirety favors root growth, the plant will colonize the entire soil mass and put its agreement with conditions on display regardless of soil depth. That means that soils supporting tall perched water tables (a soggy layer of soil at the bottom of the pot) will be a problem. Do make sure you shade the container because soil temps will be a factor. Al

How deeply plant roots grow where they naturally occur (even if it's in a garden) isn't a genetic trait - it's a response to cultural conditions. For example, rhododendrons are well known for root systems that are >90% contained in the top 3" of soil, yet in a 20" deep container of well-aerated media, they happily colonize the entire root mass. Roots are opportunists. They don't grow toward water or nutrients, like most growers think, they simply don't grow where the supply of water, nutrients, or air are insufficient. If you use a medium that provides a rhizosphere that in its entirety favors root growth, the plant will colonize the entire soil mass and put its agreement with conditions on display regardless of soil depth. That means that soils supporting tall perched water tables (a soggy layer of soil at the bottom of the pot) will be a problem. Do make sure you shade the container because soil temps will be a factor. Al

I think it needs a good soaking. It is trying to conserve moisture and is dropping old leaves. If you are unsure, stick a long toothpick or wooden kebab skewer deep into the soil and leave it overnight. Pull it out tomorrow, and if it doesn't feel dampish, you should water. It is possible your soil is compacted into a hard mass which water cannot soak into. When you water, watch if the water comes out the drainage holes immediately or if it actually soaks into the soil. If it pours out immediately, immerse the whole pot in a deep tray of water and let it soak for a few hours. Then use the wooden skewer to determine when it needs to be watered again. The purple colour is likely from the high light levels. happy growing! Breton