Asklemmy

https://librewolf.net/

If you use this browser and run adblock, then likely, yeah it'll be enough

The fingerprint comes from your client.

So, if you use a browser, it will give away your operating system and quite some stuff more.
Pretty much every site you visit can do this, learn more about this here:
https://coveryourtracks.eff.org/

Persistent cookies can track you over different sites, that check for this cookie.
It's not like the cookie has a life of its own, but different sites can check for that cookie and then they can report back to a server, so this server knows which sites you've accessed.

If you're using a client app, like the official Reddit app, on your smartphone, it will have some permissions requested and that will be the data it has access to.
If it is running always in the background and has access to your location data, it potentially track your real world location.
If it wants to be linked with your Google/Apple account, it (maybe? (probably depends on the range of access requested)) has access to your real name.

But else, it can "only" gather data, that will help to identify you again - but this you is only your username.
Although I'm not sure how Reddit currently handles registrations, and if they now demand some real name.

But for example with browser fingerprints, they can with some probability identify the device again, but can't really say who you are - like with a real name.

But every service you visit in the internet, independent of by browser or app, will see your IP - your numerical internet address, with which your devices communicate with any other device in the internet.
So, if you access a homepage, the web server will reply to your device by using your IP address, because that's where the request came from and else it wouldn't be able to send you the data you requested - like the data (text, images, code) of the homepage you want to access

The relation between your real name and the IP is known by your internet service provider (ISP) and for example law enforcement can get access to your real name, when they have your IP, but a typical homepage can't get to that data.

So they'll know that you accessed their homepage twice (and maybe some partner Homepages, with which they share this data), but they can't really say who you are in the real.

For quite some time private IPs were also dynamic. So with every dial-in you'd get a new IP.
By now this isn't the case anymore with many providers and connection types.
I'm still paying for a (rather) stable IP though, so I can access my server reliably with the same address - but you can also set up a script that updates a domain (like a www/"Internet" address) and you don't need the IP, just like you can access google.com without knowing the IP of that server

Ok, that has gotten a bit off of topic, but I hope, it brought you some more understanding how those things work

If I got your question completely wrong, sorry.
Maybe I can give you better information, when you clarify where I went wrong
If someone sees, that I'm providing wrong or outdated information, please correct me :⁠-⁠)