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Review Summary
Your solution is approved because it correctly implements a custom [].__proto__.sort2 that sorts arrays in place, copies the sorted values back to this, and returns the original array as required. The default behavior of your comparator—coercing elements to strings and comparing them lexicographically—matches the documented behavior of the native Array.prototype.sort() for the no-argument case. The overall selection-style algorithm is clear and acceptable for this task, even though it is O(n^2).
One behavioral difference to be aware of is that in src/arrayMethodSort.js, your comparator handling allows any non-function compareFunction (other than undefined) to silently fall back to the default comparator, whereas native Array.prototype.sort throws a TypeError in that situation; if you want closer parity, you could add a type check like if (compareFunction !== undefined && typeof compareFunction !== 'function') throw new TypeError(...). For future improvement, you might also consider avoiding the extra arrays you allocate during sorting to reduce memory usage and to behave more like a fully in-place algorithm, and you could document or test edge cases such as sparse arrays and unusual comparator return values. Overall, this is a solid and readable implementation that meets the core requirements; nice work.
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