RE: oral probiotics, there is some promising evidence of oral probiotics in improving oral health. We wrote a guide [3] based on the available research that might be helpful.
For lysine, we're still looking into the evidence, but we're excited to see more innovation and research into oral care product ingredients that work with the oral microbiome.
[1] https://www.tomsofmaine.com/our-promise/ingredients/arginine...
[2] https://www.basicbites.com/
[3] https://www.bristlehealth.com/post/a-guide-to-oral-probiotic...
Also, xylitol is a great biofilm disrupter. Chewing xylitol gum has been shown to be beneficial in preventing carries.
To ensure I get an effective amount of xylitol, I use crystals in my tea and coffee. My child eats them with a spoon. Health Garden is one of the brands that uses birch xylitol.
Also, any health concerns with consuming xylitol?
Diarrhea is a concern at 45g for children and 100g for adults. If you introduce it gradually into your diet, it should not be a problem.