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Does it do it right away at startup, or after running a while?
If it doesn't do it right away, but does it after driving for a while, it might be a head drain that clogged up, and the excess oil is going down the valve-guides.
Otherwise, since it's only one side, sounds like a cracked piston or severely "wiped" cylinder.
Rezvani's Latest Post-Apocalyptic Monster Is a Ford F-150 Raptor Underneath
Slideshow: Called the Fortress, the 850-horsepower pickup combines Raptor underpinnings with military-inspired features, survival equipment, and a starting price of $285,000.