Engine rumble/vibration when transitioning gears

I own a 2024 Tundra Limited and have opted to turn off the enhanced sound feature. Recently, after surpassing 10,000 miles, I've started to notice an unsettling rumble or vibration in the engine. It's audible and I can feel it through the steering wheel and the seat. This typically occurs when I'm maintaining a steady speed with minimal pressure on the gas pedal, especially during gear transitions, either up or down. Occasionally, it feels as though I'm driving on a rough surface, even on smooth roads.

I had the truck checked by a local Toyota master mechanic who didn't identify any problems, yet the issue persists and is quite bothersome, particularly for a vehicle of this caliber which is expected to offer a smooth and quiet ride. Before I seek a second opinion, does anyone have any insights on what might be causing this? Thanks for your assistance!

 

Take some video of the issue when it happens so the service team can review...since they have been unable to replicate.