Preheat your oven to 400°F and line a large baking sheet with parchment paper.
Slice the russet potato into paper-thin rounds using a mandoline or a very sharp knife.
Place the potato slices in a bowl and cover with the white vinegar, letting them soak for 10 minutes to infuse the flavor.
Drain the vinegar and pat the potato slices extremely dry with a clean kitchen towel to ensure they get crispy.
Toss the dried potato slices with 0.5 tbsp of extra virgin olive oil and 0.25 tsp of sea salt.
Arrange the slices in a single layer on the prepared baking sheet and bake for 15 to 20 minutes, flipping halfway through, until golden and crisp.
While the chips bake, season the chicken breast with the remaining 0.5 tbsp olive oil, dried oregano, garlic powder, lemon juice, remaining sea salt, and black pepper.
Grill the chicken breast over medium-high heat for approximately 6 to 7 minutes per side until the internal temperature reaches 165°F.
Let the chicken rest for 3 minutes before serving it alongside the fresh salt and vinegar potato chips.