Begin by preheating a dry large-sized skillet over medium-high heat.

To prepare your garlic, separate two garlic cloves from the head but leave the skin on. For the first option, place the garlic cloves directly in the preheated skillet and turn them occasionally to ensure even roasting. Watch for the skin to turn a golden-brown color and for the cloves to become soft and caramelized, which should take about 5-7 minutes. If you are using a cast iron skillet or another heavy-bottomed pan, the garlic cloves may also become slightly charred during the roasting process. To avoid this, you can check on the garlic occasionally and turn them to ensure even roasting. Please note that the pan may smoke during the roasting process, so be sure to have good ventilation and handle the skillet with care.

Alternatively, for the second option, wrap the garlic cloves in aluminum foil to create a small pouch, then add the pouch to the preheated skillet. Allow the garlic cloves to pan-roast for 5-7 minutes until they are soft and caramelized. Once they're cool enough to handle, remove the skin and set them aside.

While the garlic is roasting, put on a pair of gloves to protect your skin from the spicy oils in the Scotch Bonnet peppers.

Next, wash and dry the peppers, and remove the stems, seeds, and white membrane. Removing the seeds can help reduce the heat level, but leaving the membrane intact will still result in a fairly spicy paste. Some people prefer to remove the seeds and membrane to achieve a milder heat level, while others enjoy the full heat experience and leave them in. It ultimately comes down to personal preference. Chop up the peppers and set them aside.

Peel and chop up the onion, and wash, dry, peel, and chop up the carrots into small pieces (peeling the skin is optional).

In a large skillet, heat up the olive oil over medium-low heat. Add the onions and sauté for 2-3 minutes until they become slightly softened and fragrant. Increase the heat to medium, add the chopped scotch bonnet peppers and carrots to the skillet, and sauté for another 2-3 minutes.

After that transfer the mixture to a blender or food processor, and add the salt, sugar, and white vinegar (or apple cider vinegar). Blend until smooth and creamy, scraping down the sides of the blender as needed. This will allow the flavors to blend together and create a delicious base for your paste.

If you prefer to use a mortar and pestle, add the mixture to the mortar in small batches. Use the pestle to grind the ingredients together using a circular motion. Continue grinding until the mixture forms a smooth paste. Repeat until all of the mixture has been ground into a paste.

Once you've blended or ground the mixture to your desired consistency, taste and adjust the seasoning as needed, adding more salt or sugar to balance out the flavors.

Transfer the Scotch Bonnet Pepper Paste to a clean airtight container and store it in the refrigerator for up to 3 months to ensure the paste stays fresh.