In a medium saucepan, add the water, pineapple juice, teriyaki sauce, soy sauce, and brown sugar over medium/high heat. Bring the mixture to a boil, stirring occasionally, then reduce the heat until mixture is just simmering.
Add the minced garlic (OR if you're roasting your own garlic, over the saucepan, squeeze the sides of the head of garlic until the pasty roasted garlic comes out). Whisk to combine.
Add remaining ingredients to the pan and stir.
Let the mixture simmer for 40-50 minutes or until the sauce has reduced by about half and is thick and syrupy. Don't let it boil over.
Adapted from Insider's Recipes for Brand Name FoodsInstructions for roasting your own garlic is above.The recipe makes approximately 1 cup once cooked down. For nutrition facts, I assumed a serving size is 1 Tablespoon.