In a large skillet, warm olive oil over medium heat until shimmering. Add minced garlic and grated ginger, stirring constantly for 1-2 minutes until their aroma is released. Be cautious not to let the garlic brown, as this can lead to a bitter taste. Adjust heat if necessary to maintain control.

Add the coconut aminos and rice vinegar to the pan, stirring continuously to ensure they blend smoothly. Maintain a medium heat, allowing the mixture to simmer gently. As it cooks, observe the liquid slightly thickening and releasing a savory aroma. Continue simmering for approximately 2 minutes, ensuring the flavors meld together effectively.

Incorporate the honey into the mixture, stirring continuously until it fully dissolves. The aroma should be sweet with a hint of tanginess. Adjust the heat to maintain a gentle simmer, ensuring the liquid does not boil vigorously, which could alter the sauce's consistency and flavor balance.

In a small bowl, combine cornstarch with an equal amount of cold water, stirring until the mixture is smooth and free of lumps. Gradually pour this mixture into the skillet over medium heat, stirring continuously to ensure it thickens evenly without forming clumps. Cook for about 2-3 minutes until the sauce reaches the desired consistency.

Pour the chicken broth into the skillet over medium heat, stirring continuously to ensure even mixing. As the broth heats, watch for the sauce to thicken, reaching a consistency that coats the back of a spoon. This should take about 3 to 5 minutes. Adjust heat if necessary to maintain a gentle simmer.

Sprinkle salt and black pepper into the sauce, stirring thoroughly to ensure even distribution. Taste the sauce and adjust the seasoning as needed, aiming for a well-rounded taste. The sauce should be smooth and slightly thickened, with a pleasant aroma. If the flavor seems off, add a pinch more salt or pepper.

Pour in the sesame oil gradually while stirring continuously over medium heat. As the oil blends in, notice the nutty aroma that develops, indicating the sauce is reaching its desired depth. Continue stirring for about two minutes until the sauce thickens slightly and the ingredients are well combined, ensuring a smooth consistency.

Continue to let the sauce simmer gently over medium heat for an additional 2-3 minutes, stirring occasionally to prevent sticking. As it cooks, the sauce should thicken and develop a glossy sheen, indicating it is ready. It should coat the back of a spoon and cling to the other ingredients, enhancing their flavor.

Once the sauce has thickened to your desired consistency, remove the pan from the heat. Stir in the sliced green onions, ensuring they are evenly distributed throughout the sauce. The green onions should remain bright and slightly crisp, adding a fresh aroma and a subtle crunch to the dish. Serve immediately to maintain the texture.

Pour the sauce over your choice of stir-fried vegetables and protein, stirring gently to ensure even coating. Serve immediately while the dish is hot, as this will maintain the ideal texture and aroma. For best results, consume promptly to enjoy the full effect of the sauce's consistency and seasoning.