yep as mindgamey mentioned, 2.4k is way too much for this level of build. with this budget u can get a ryzen 5 7600 + 4070 build as u can see in the first post, which will be way faster. or to put it another way, u can get a similar level of gpu performance (rtx4060 and rx7600 are basically equal) in a build with less than half the budget in the value gaming pc reco. and yes u do not need a 1000w psu, even for a 3070ti or 4070, either will work fine with a much cheaper 650w. mansa quoting u 2.4k for this is really chopping carrot head as they normally do
as mindgamey also mentioned, try to get something with more than 8gb of vram if u want to keep it for the long term. id only get the 3070ti if it's close to $500. im also not sure why u would want to spend more on a 13700 when ur use case is only gaming, especially with easy to run games.
u mean the cpu? aio cooled gpus work well but are very expensive and usually reserved for high end cards. for cpu, a good air cooler can rival 240mm aios and the latter is only really necessary if u dont have a large case or plan to do core heavy apps. since u are just gaming, id stick with the pa120; if u want go aio best to go big and get 360mm.
overall, id recommend 2 builds from 1st post: value gaming pc reco for this level of performance (which i would lean towards), or enthusiast gaming pc reco to use up a similar budget but with way more performance, then just add on the storage as necessary.