Breaking through Waves Fixation

New to surfing and new to the forum - seeking some beginner advice. I have taken a class in person and watched several well-known intro videos on the internet. I’m seeking some clarification on breaking through white water while paddling out.
In my first independent session I focused entirely on paddling technique on breaking through white water - needless to say after an hour and a half I was exhausted.
There seem to be four basic methods for dealing with this on a long board: punching through (paddle hard, push-up), sitting through (sit back and lunge forward at impact), turtle rolling, and ditching your board (I am confused by how often I see this recommended even though it is completely against etiquette). I tried the first two; punching through kicked me off a lot, and did not work on any significant size wave; sitting through worked better but was slow, and when the wave was too big…it hurt…in the face!
I am assuming the best method is to turtle roll, but this seems to have some bad feedback on the internet, and also I am not sure whether the techniques I tried did not work for the sizes waves I had (it was a 2-3 ft day) or it it was poor technique. Looking for some advice on this topic. I am fixated on mastering this and paddling before I even try to catch a wave and pop-up.
In my first independent session I focused entirely on paddling technique on breaking through white water - needless to say after an hour and a half I was exhausted.
There seem to be four basic methods for dealing with this on a long board: punching through (paddle hard, push-up), sitting through (sit back and lunge forward at impact), turtle rolling, and ditching your board (I am confused by how often I see this recommended even though it is completely against etiquette). I tried the first two; punching through kicked me off a lot, and did not work on any significant size wave; sitting through worked better but was slow, and when the wave was too big…it hurt…in the face!
I am assuming the best method is to turtle roll, but this seems to have some bad feedback on the internet, and also I am not sure whether the techniques I tried did not work for the sizes waves I had (it was a 2-3 ft day) or it it was poor technique. Looking for some advice on this topic. I am fixated on mastering this and paddling before I even try to catch a wave and pop-up.