System requirements for games

The integrated graphics on your Intel CPU is too weak for that game. Those 2 dedicated graphics cards are way ahead of your igpu. You won't have a good experience.

you should have a second graphics card installed in your laptop. if you right click on dektop do you see nvidia system control? if so, click on it and choose nvidia graphics card as prefered gpu. laptops are always bad at playing new titles. i dont think your laptop could handle nier automata.

• i5 is better than i3. U means ultra-low power consumption, so kind of lightweight version, but should still be OK for games while connected to a power grid and not using battery.
• Intel HD is a GPU core integrated into your CPU, not a separate (dedicated) GPU on a graphics card with dedicated VRAM. While these advanced a lot since the late 90s and early 2000s, and are great for low power / low heat / decent video decoding... they are not the best choice for gaming.
• Your IntelHD is DX12 but will enable you to only play older and less demanding titles in 1280x720 resolution, such as TeamFortress2, Rocket League, Farming Simulator 17, FIFA16, DOTA2, Dirt Rally, Starcraft 2, CSGO, Dishonored 1, Diablo III, ... mostly on LOW settings.
• Most 2D indie games should work fine though.

I usually use Game-debate to check if a game can run with my specs. Doesn't always get it right though

It's so hard to type on phones so sorry for the lack of explanation, NB264 and ZlyOrg gave you great feedback. Just keep in mind that some specific titles rely a lot on graphics card "power", other ones are more balanced. For example I'm pretty sure you can run Killing Floor 2 at least at 720p with minimal settings because that game is very optimized (If only we had a demo).

I recommend you a Linus Tech Tips video about "bottlenecking". In this case we could say the bottleneck is the HD Graphics 5500.
Updating your integrated graphics driver will give you some performance but don't expect miracles.

So, the last dedicated graphics card I remember buying had its own fan and the largest amount of VRAM I could afford. It also required me to upgrade my power supply, because the one that came with my computer didn't have enough juice to keep a card that powerful running.

With integrated graphics, you're relying on a little thing that lives on your CPU for all your graphical needs. It doesn't have its own fan, so it really can't afford to do power-intensive things that would make it run hot, and in any case, it's tied to the laptop's existing power supply, and (as far as I can tell) it draws on the same supply of RAM as the CPU. That last bit means that instead of one set of RAM handling the graphics and one handling the way non-graphical processes run, you've got one pool of RAM trying to handle everything at once and trying not to get overwhelmed). Basically, integrated graphics are always running at a disadvantage.

I've seen some variance between system requirements and what you can run on your system despite the so-called requirements, but it's always a gamble.

PS: For what it's worth, I had a video called the Integrated Graphics Survival Guide pop up when I was trying to fact-check my compare/contrast. I didn't watch it, but you may want to Google it and see if they mention any tweaks that might be useful for you (at least until you find yourself a laptop with dedicated graphics).

Desktop i5 has 4 cores, mobile i5 usually has 2+2 virtual -same as desktop i3; So yeah, you have slower cpu than that i3 from requirements.
Second, that vga is basic one, it usually meets requirements where non specific vga is mentioned, only like "512 MB vga" (you can run Dota, but.. don't get hopes up to much)
Also worth mentioning, in majority low/mid end laptops is really slow hdd (5400 rpm) and that impacts gaming experience despite it's not mentioned in requirements.
Links for basic speed comparison of parts you mentined:
https://www.cpubenchmark.net/
https://www.videocardbenchmark.net/

Naming schemes are very confusing, particularly when it applies to laptop parts, so don't feel bad about being confused.

Minimum: Intel Core i3 2100 - 2 cores, 4 threads, 3.10 GHz
You Have: Intel(R) Core(TM) i5-5200U - 2 cores, 4 threads, 2.2GHz base, 2.7GHz max.
An i5 is normally better than an i3, but that's when comparing like for like, desktop part to desktop part. When comparing a laptop i5 to a desktop i3, that's not necessarily the case. In this case, your laptop i5 only runs at 70-87% of the speed of the desktop i3.

Minimum: NVIDIA GeForce GTX 770 VRAM 2GB or AMD Radeon R9 270X VRAM 2GB
You Have: Intel(R) HD Graphics 5500 / AMD R5 M330
The R5 M330 is really slow, barely faster than the built in iGPU. I don't know why they even bothered including it, except to fool people into thinking the laptop's video card is better than it is.

It's about the same speed as a Geforce GT 630 desktop card. If you search on the GPU Hierarchy chart, the GT 630 is 13 brackets below the GTX 770, 11 spots below the Radeon R9 270X. Suffice it to say, your video card(s) is not anywhere near the minimum required.

So your processor is a little too slow, and your video card is way too slow. :(

Rule of thumb is if the laptop details state Intel HD Graphics then you have a non-gaming, consumer laptop. Also, price wise, expect at least 850 USD or more for any laptop to be considered video game dedicated.

However, you can still run games from Steam or flash games on websites.

A few Steam games I can think of are Game Dev Tycoon, This War of Mine, and Stardew Valley.