To a large pan on medium heat add olive oil and butter. Add chicken to pan and cook to almost done. Remove chicken to a plate.

Add olive oil and butter to the pan the chicken was cooked in. Add vegetables, salt and pepper, cover, and on low heat cook until vegetables are softened. Remove and add to plate with chicken.

On low heat add garlic to the pan and cook for 1 minute. Add chicken broth, fish sauce, oyster sauce, rice wine, and lime juice. Bring to a simmer and Mix for 2-3 minutes. In a small cup mix corn starch with 1?Tbsp of chicken stock. Add the corn starch mixture to the pan and whisk in. The goal is to just slightly thicken the sauce. Turn off heat and add chicken and vegetables to the pan. Mix thoroughly coat for 2 minutes.