Re: Team Fortress 2 Grey screen on launch
You would likely need more RAM (especially shared for video) and better graphics. I am not familiar with an i2 cpu, but even with i7, 8 GB RAM, and Intel HD 4600 graphics on a laptop, TF2 indicated 10 fps, but was virtually unplayable due to pauses and looping audio. Fortunately that laptop has combination graphics that also includes Nvidia GTX 765M, so once I found TF2 launch parameters to use nvidia instead of Intel graphics, it was smooth and much faster.
And older Intel graphics is worse. For 2 similar laptops from 8 or 9 years ago, both with 1.66 GHz dual core and 2.5 GB RAM, minecraft was playable on one with legacy ATI graphics (X1300 mobile), but unplayable on the other one with Intel graphics (I have not put Steam on those).
i5 650 3.2 GHz, 8 GB, nvidia GTX 750 Ti, 32" 1080p | i7-4700MQ, 8 GB, Intel HD 4600/nvidia GTX 765M, 15.6" 1080p | etc.