Combine Cherry Tomato (10.5 ounce), juice of the Lemon (1/2), Distilled White Vinegar (1/2 tablespoon), Brown Sugar (1/2 cup), Crushed Red Pepper Flakes (1/4 teaspoon), Freshly Ground Black Pepper (1 pinch), and Salt (1 pinch) in a cast iron pan.
Bring to a simmer and cook for 20-30 minutes, stirring occasionally. Once done, remove from heat and allow to cool. Save for later.
Turn your oven broil on low. Beat Egg (4) in a small bowl. Add Tarragon (2 sprig), Half and Half (3 tablespoon), and Salt and Pepper (to taste). Mix together until incorporated.
Heat a small saute pan to medium heat with enough Olive Oil (to taste) to coat the pan. Pour in the eggs and cook on the stove top until it's set, but still liquid on top. Then finish cooking in the oven (will only take a minute or two).
Slide the "omelette" out of the pan and allow to cool. Repeat to make a second "omelette".
Cut the Ciabatta Bread (1 loaf) in half vertically the short way and then horizontally to make four slices for two sandwiches.
Spread Goat Cheese (to taste) on both the top and bottom of the bread. Add tomato jam on the bottom slice.
Top with the eggs and then top with Arugula (to taste). Repeat to make another sandwich.