Make ginger garlic sauce. In a food processor, combine ginger and garlic. Scrape down the bowl and process until they become a fine paste. Alternatively, use a microplane to grate the ginger and garlic. Transfer to a heat-safe bowl.
Heat 3 tablespoons oil in a small saute pan over medium-high heat until oil starts to shimmer. Pour oil over ginger and garlic mixture. Season with salt, stirring to combine. Let sit.
Prepare chili sauce. Combine sambal, grated ginger, grated garlic, chicken stock, lime juice, sugar, salt, and dark soy sauce in a medium bowl. Stir until sugar and salt are dissolved and set aside.
Make chicken toast. Combine ground chicken, ginger, garlic, scallion, egg white, salt, sugar, and white pepper in a large bowl. Mix until well combined. Use wooden chopsticks, wooden spoon, or a stand mixer to thoroughly mix ground chicken mixture until it tightens and becomes sticky. If mixing by hand, this will take about 4 minutes. If using a stand mixer, it will take about 2 minutes.
Cut the crusts from the sandwich bread. Spread chicken mixture in an even layer over the bread slices, making sure to cover the entire toast. Sprinkle sesame seeds on top.
Arrange toast in an even layer in the air fryer and spray with cooking spray. Set the air fryer to 350 degrees for 10 minutes and cook.
Remove from heat and garnish with chopped scallions. Serve with ginger garlic sauce and chili sauce.