Yet Another Constructive Problem

You are given a positive integer $X$ which is at most $10^8$. Find three **distinct** non-negative integers $A, B, C$ that do not exceed $10^9$ and satisfy the following equation: $$(A \mid B) \mathbin{\&} (B \mid C) \mathbin{\&} (C \mid A) = X$$ Here, $\mid $ denotes the [bitwise OR operator](https://en.wikipedia.org/wiki/Bitwise_operation#OR) and $\mathbin{\&}$ denotes the [bitwise AND oper