Can I put together a gaming and coding PC for $650?

The 5600GT prebuilt is usable for coding, but the catch is that it has no separate graphics card. Destiny 2 can run on integrated graphics, though you may need low settings and should expect a less comfortable experience than with a decent dedicated GPU.

It could be a starting point if the price is right and you plan to add a card later. Before counting on that, check the power supply, its connectors, and the space inside the case. An RX 6600 is one card worth comparing against other options in your budget.

I'd look at used or refurbished desktops with a dedicated graphics card before buying that prebuilt. Ask for the exact CPU, GPU, RAM, storage, and power supply model, not just a description like gaming PC.

Compare the asking price with other listings and, if buying locally, try to see the computer running before paying. Used parts can stretch the budget, but condition and warranty are tradeoffs.

Building it yourself is an option too, especially if you're willing to mix new and used parts. Keep the case simple and put more of the budget toward a dedicated GPU rather than lighting or looks.

Price the whole setup before ordering anything. The motherboard must support the CPU and memory, the power supply needs the right connectors and enough capacity, and the graphics card must fit the case. Check current prices rather than assuming a particular parts list will fit $650.

If you want everything new with a warranty, saving a bit longer may make more sense than buying a weak gaming prebuilt now. There's no magic price that guarantees a good deal, so compare the actual specs and the cost of the monitor before deciding.

A handheld gaming PC connected to a monitor is another route, especially if portability matters. Check game compatibility first, though. Destiny 2 does not run natively on the Linux-based system used by Steam Deck, so that choice may require Windows.