You can use redlib instance to browse reddit without an account https://redlib.catsarch.com/r/mildlyinfuriating

or if a specific instances breaks you can use something dynamic like https://farside.link/reddit.com/r/whatever to find one that's up

But its new reddit format, there were services like teddit that used a layout more similar to old.reddit but every instance I know of it as been shut down, the code still exists so if you have the means and ability to host your own instance you can https://github.com/teddit-net/teddit but I know than can seem daunting if you haven't done something like that before, but you could probably find a friendly user with some time on their hands to walk you through it, or maybe try a lying machine to lay out the process in simple understandable steps

or did you mean how does it work on a technical level?