The TM symbol is generally used to indicate a "common law trademark," which is a branding mark that is not registered with the USPTO, and can only provide exclusivity in a limited geographic area where the owner operates its business.
A book title is not a trademark, and vise versa. The title is intended to identify a single entity: the book. A trademark is intended to identify a brand of products or services used in commerce.
Even if your competitor were to argue that your book title infringes its mark, since it doesn't actually have a trademark, it could only prevent you from marketing your book in the same geographic region in which your competitor markets its products. You cannot be prevented from using the title anywhere else in the USA.
If it were me, I'd choose a different name for the book, just because it eliminates controversy in advance. But, you can use the name, if you choose. And, you can register a trademark, but your competitor can continue to use the same name in its geographic locale.
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