As Deadpool notes, the Wolverine he encounters in the woods is sporting the John Byrne-inspired brown costume. Wolverine's first appearance in Marvel Comics came briefly in The Incredible Hulk ...

You see, Claremont and John Byrne, back when they were working ... in the middle of two major storylines for both the Hulk ...

The shirtless, feral Incredible Hulk paused his fight with the “John Byrne Wolverine” so he could throw Deadpool back through the TVA doorway. Hulk not smash. Hulk evict. Paradox and his team ...

Use your judgment on what constitutes a single issue or multi-issue story, and a "Wolverine" story versus an "X-Men" story.

Mike Washburn notes that the original comic said Wolverine VS. Hercules... That definitely does make a much better case for this one. The next option is 1980's X-Men #133 (by John Byrne ...