I had a quick view at this post : https://www.reddit.com/r/radeon/comments/157qa6c/rx_6600_or_rx_6700_xt_for_1080p/

It seems to me that 6700xt is much stronger than 6600. More expensive, too. Personally, I would pay some extra money 6700xt, but it depends on OP’s budget and game preference.

I’d suggest OP to consider several factors:

1. Is the game you’re playing CPU-intensive? aka Will your 3600X be the bottleneck if you have a powerful GPU?
2. Do you have a 4K/1440p monitor?

“just browse the internet” doesn’t indicate that you don’t need a powerful computer in 2023. Modern browsers are really heavy - and rendering websites are much more complex now.

Unless you’re really frugal about your PC budget, I think it’s definitely “to-go” for 32G