I'd agree with many of the suggestions above.
-Good folding saw
Far easier and safer wood cross cutting than an ax. Easier to make straight, flat cuts with on the off chance that you need to for some reason.
-Compact or folding shovel
If you're thinking camping/survival, then being able to quickly and easily do some digging is probably important.
-Pliers based multitool
Tons of utility for the size of the tool if you pick the right one for your needs.
-SAK
See above. A more pocket friendly multitool with the added benefit of being a very nonthreatening and handy edc.
-Traditional in one of the more versatile patterns, like a 3 blade stockman
These have survived and been popular more or less unchanged for generations. There's a reason for that.
-A machete
This one is kinda stuational. It might be one of your most important and most used tools camping or you might be better off getting by with a sharpened shovel edge for rare machete work than carrying the extra weight. It all depends on where you are and what the conditions are there.
-A sharpener
Maintain the edges of your tools so they continue to work properly.
Good luck and welcome to the rabbit hole.
