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William Hogarth Main - Wikipedia
I think you have been given some pretty sound advice here re progressing into overhead diving considering your current comfort level with basic skills. ..so I will not repeat those warnings.
I will say that some people pursue advanced diving more for the challenge or just some need to "level up".
I appreciate your transparency and think you could benifit from thinking through a few things.
It's kind of hard for me to imagine being cavern certified withought exposure to some of the most basic concepts. Read up on the Hogartian principles for gear rigging. Get yourself used to the idea of "primary donate". This is consistent with all cavern/cave/tech training that I have seen. So if you want to play in this sandbox, you should gain comfort with it.
If you run into an OOA diver in a cavern, you should expect them to go for the reg in your mouth and be prepared to quickly offer this reg and THEN switch to your backup. This is a fundamental skill. If you are incapable of getting comfortable with this, ....please stay out of caverns and caves.