The statement's core claim—that XRP's market capitalization experienced a significant surge that allowed it to surpass BNB's—is well-supported by the provided evidence. The most authoritative and relevant source, CoinDesk, directly reports on a major market cap increase for XRP on July 14, 2023, following a partial court victory for Ripple. However, this same high-quality source explicitly states that this event made XRP the *fourth*-largest cryptocurrency, which contradicts the statement's claim of it becoming the 'third-largest'. The Yahoo Finance article corroborates the timing of this 'July high' for XRP, adding contextual support. While there is a clear factual error in the specific rank mentioned, the fundamental market event described (XRP's surge and overtaking of its direct competitor) did occur. Therefore, the statement is assessed as 'likely_true' because the primary action it describes is accurate, even though a resulting detail is misstated.