Kendrick Lamar did release a Remix of Gotye’s hit song in 2012, your request likely touches on a few different ways Kendrick explores the idea of people he "used to know."
While there is no official collaboration, the internet has created a strong association between Kendrick Lamar’s style and the Gotye song due to fan-made mashups. Kendrick Lamar - Somebody That I Used To Know -...
Mashups: Because of the popularity of Kendrick’s unreleased "Memories Back Then" verse, many fan-made mashups exist on platforms like YouTube that place his vocals directly over the original Gotye instrumental. Somebody That I Used to Know (Remix) Lyrics - Genius Kendrick Lamar did release a Remix of Gotye’s
The story behind Kendrick Lamar's "Somebody That I Used to Know (Remix)" Provide a close line-by-line lyrical analysis
The Atmosphere: Distant sirens and vinyl crackle fill the empty spaces between the plucked notes. The Verse (Kendrick’s Perspective)
Reviews of Kendrick Lamar's 2012 remix of "Somebody That I Used to Know" highlight how he transforms Gotye's indie-pop hit into a stark reflection on personal growth and the bittersweet reality of past connections. While the original song focuses on the immediate sting of a messy breakup, Kendrick's version adds a narrative of moving on and finding success, looking back at someone from his past with a mix of pity and detachment. Notable Perspectives on the Track
If you are looking for the "proper" way to format the song title for that specific version, it is: