Even when trying to limit myself a Ryzen 5 7600, RX 7600 build with 1tb m.2 storage and 16gb ram, a non modular bronze 750w psu and a cheap case ends up outside your budget. (about $950 to buy over here). You could lower that by going for older AM4 components but then you lose most of the upgradability benefits.
Personally I would save more before buying and increase the budget. You mention having a decent laptop, so use that one for some indie gaming while saving up.