Heat the avocado oil in a large skillet or wok over medium-high heat until shimmering.
Add the shrimp to the pan, seasoning with sea salt and black pepper, and sear for 2 minutes per side until pink and opaque.
Remove the shrimp from the pan and set aside; in the same pan, crack the eggs and scramble until just set, then remove and set aside.
Add the diced carrots and peas to the pan, sautéing for 3-4 minutes until the carrots are tender-crisp.
Stir in the minced garlic and cook for 30 seconds until fragrant, being careful not to burn it.
Add the chilled jasmine rice to the skillet, breaking up any clumps with a spatula, and toss with the tamari and toasted sesame oil.
Return the cooked shrimp and eggs to the pan, tossing everything together for 1-2 minutes until heated through.
Garnish with thinly sliced green onions and serve immediately.