Lenovo IdeaPad Pro 5i 14" QHD 2.8K 120Hz i5-13500H RTX 3050-6GB 16GB RAM 512GB SSD Laptop @ LenovoEducation

All laptops are thermally and power limited. If the CPU and/or GPU get too hot then they will downclock and/or you will run into power delivery issues. Hence, you always need to target efficiency when (trying to) game on a laptop (i.e. max performance per power). 1. Power cap the CPU (Throttlestop) 2. Undervolt the GPU (Afterburner) 3. Make sure all air intakes are free and not covered (i.e. stand laptop like a greetings card if plugged into a screen, or if using the inbuilt screen, placed on a hard surface, not a bed or lap). I own this laptop and am currently gaming away from home (away from my proper gaming desktop). This is what works best for me running very demanding emulation of Zelda Tears of the Kingdom in Yuzu i.e. keeping temperatures and fan noise acceptable: The GPU can be capped at 700 mV 1447 MHz and this keeps GPU power <30 W (flat line across the full width of the voltage/frequency graph, control+F in Afterburner). You will likely need to tweak the flat line up or down from 1447 MHz as every GPU is different. Sadly, undervolting on 12500H and 13500H CPUs is disabled. For Yuzu emulation, I need to cap CPU long power limit to 32 W (set using the "TPL" button in Throttlestop, then "Turn on" in the main window). I get best performance by using Process Lasso to force Yuzu to use only the 4 p-cores (and no e-cores) this keeps p core clocks at 3.9 to 4.3 GHz (allowing ANY e-cores to be used drops the p core clocks, and therefore performance, to keep within the power limit). I also tried using e-cores only but that tanked performance. Different games may respond differently to how many e cores are useful within a particular power limit; few normal games are as CPU demanding as Switch emulation. Doing the above, my total power draw (CPU+GPU) when gaming is <65 W, so doing something similar yourself will fix your issues. Finally, if you are serious about PC gaming, buy a desktop. (edited)

Agree, 32GB ram with at least 1TB storage (considering how cheap Nvme/SSDs are now) for around £700 would be the sweet spot, as I've seen 16GB/512GB laptops around £500 regularly.