A:AnswerArk Survival Evolved is a very high demanding game, so I wouldn't get your hopes up about getting high fps with the graphics card that comes with this pre-built desktop, technically it could run it, but the quality that you would have to play on, would make things difficult to see, and degrade your gaming experience.
A:AnswerComing from personal experience, you can run Fortnite at a decent fps with a card as low quality as the 1050Ti, I would recommend getting something like a 1060, 1070, 1660ti, 1660S, those gpus are pretty cheap for a GPU, and will get you fps above 100 on fortnite consistently.
A:AnswerThe monitor wont effect your fps, the monitor only caps how much fps you can visible see, with a 240hz monitor you can only see 240 fps, but playing fortnite on this desktop, you wont get anywhere close to 240 fps in the first place. your probably lokoing at about 90-120 on medium settings
A:AnswerThe Monitor doesnt effect fps, the monitor just caps the fps, on a 144hz monitor the highest fps you can visible experience is 144. But with the gpu that comes with this pc, it will be rough finding a game that you can get that high of fps on.