The best place to start is with the low Candida diet. There are a lot of doctors that discuss not only the anecdotal benefits of switching to a low or no carb lifestyle but they also step through the science. There is a big range of how people interpret low carb, keto etc. When dealing with Candida overgrowth it's best to get as close to zero carbs as possible. Keto, as defined by most doctors that also practice it, is usually no more than 20 total carbs. That leaves very little room so vegetables such as cauliflower, cabbage, summer squash and a few others are what falls into the acceptable range. Many who find themselves having to pursue the keto way of eating also learn they have a reaction to oxalates as well which further reduces the list of acceptable vegetables. There are a few individuals, I haven't stumbled upon a doctor yet, that are eating a vegan keto diet. In what I know, it's impossible to be a vegan eating a ketogenic diet and to also be low oxalate.
I know several on this forum champion the vegan lifestyle, I do not. I was a vegan three decades ago, worked at a health food store alongside PHD nutritionists, and know first hand that supplementation does not offset the mineral depletion. Can it work for someone who is very ill or overweight, yes. The problem is that after 2-3 years the nutrient and mineral depletion in the body will start to manifest. If left uncorrected, it will result in permanent damage to the endocrine system. Humans are not ruminants and our cecum (appendix) is miniscule, in most it no longer functions. We evolved to thrive on fat but we can, in a situation of starvation, utilize carbohydrates to get an immediate boost of energy to obtain a nutritionally rich (and bio available) food source. I could bore you with the science such as, cow's live on 70% fatty acids that are produced by the bacteria that breaks down cellulose and 30% protein from the bacteria that naturally dies off. Nutritionally they are a carnivore (70/30) even though they consume cellulose, ruminants have an amazing digestive system. While technically peas have a decent amount of protein, it is not very bioavailable to humans. A proper diet does not need supplementation (iodine being the exception which everyone should be taking regardless of food choices) and should never have one in a state where they have to eat every few hours before they start having side effects. This is true for the entire animal kingdom. If a storm is rolling through, squirrels will hunker down for the duration. They are not shaking, melting down, lethargic etc... once the storm passes they will emerge and go about doing squirrel things. We are all designed to miss meals when it is essential for survival.
As for avocado oil, I have never searched for a lab that publishes oil testing results. If I feel a need I just eat a ripe avocado, ripe avocados have a very low oxalate amount but unripe are high. Coconut oil seems to be mostly unadulterated so it's still a great non animal source of fat. There is debate on palm oil and I can personally attest to palm fields being the number one product that is replacing the rain forests in the Americas...sorry folks, it's not cows.
Just to drive the point home on fat. All of our hormones are derived from fat. Fat and protein are essential macro nutrients for humans, there is no carbohydrate requirement. Many of us have an exhausted endocrine system, the only solution is to eat a high saturated fat diet to fuel our hormones. Animal protein is where our body gets it's nutrients, just like wolves, lions, alligators etc. We have overcomplicated something very simple and then have implemented detrimental farming practices. Ruminants are the answer. Not only will they provide all of the nutrition and fat we need, they will heal the land we have abused for at least a century. Most, if not all, of us here knows the FDA lies about Sodium Chlorite...why would one believe what they recommend as a diet.
Here are a couple quotes from a case against the FDA. In their arguments the FDA stated:
"There is No Absolute Right to Consume or Feed Children Any Particular Food"
"There is No Generalized Right to Bodily and Physical Health"