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Dear Ms. Frazee,
Thank you for posting your question to History Hub!
It appears that copies of Virgilio N. Cordero's My Experiences during the War with Japan are in the custody of the National Library of Mexico and Georgetown University's Lauinger Library, and you may wish to contact these institutions regarding their access policies.
Cordero published a revised translation of this book in 1957, Bataan y la Marcha de la Muerte, which is more widely available.
I hope this information is helpful. Best of luck on your research!