Building your own will result in a far better PC than you can get for a laptop or prebuilt at that price.
When you buy a laptop or pre-built PC, it comes with tons of proprietary software, boot managers, and an added cost in the form of whatever the manufacturer decided putting it together was worth.
Additionally, in 2 or 3 years when that new fancy game comes out and you want to upgrade your computer to be able to play on super high quality, you won't be able to with a laptop.
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You only lose when you stop having fun. Work on it.

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