Pat the beef tenderloin dry with paper towels and let it rest at room temperature for at least 30 minutes.
In a bowl, combine the salt, pepper, garlic powder, smoked paprika, brown sugar, and ground cumin. Thoroughly rub this mixture all over the beef tenderloin.
Drizzle with olive oil and let it rest for 15 minutes to allow the flavors to meld.
Preheat your smoker or grill to 230-250°F (110-120°C) and prepare the smoking wood for the desired aroma.
Place the beef tenderloin on the smoker rack and smoke for 45-60 minutes, or until the internal temperature reaches 120-130°F (50-55°C) for medium rare.
Remove the beef tenderloin from the smoker and let it rest for 10 minutes.
Sear on all sides for 1-2 minutes on a hot grill grate or in a skillet to achieve a nice crust.
Brush with a thin layer of BBQ sauce and let it rest for another 5 minutes.
Slice thinly and serve with grilled vegetables or roasted potatoes.
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