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Thank you for providing a well-focused photo of your button's back, which is often crucial for correctly identifying a button. The reason you can't find a button which matches up with yours is, yours is not an actual Navy button. It is what button collectors call a civilian-usage "Fashion" button, used on coats and jackets to make them appear to be more expensive / higher quality than they really are. The proof of your button's ID as a "Fashion" button is the presence of what button collectors call a "pierced-dome self-shank" iron/steel back. No actual Navy buttons (from any country) have that type of back... because the holes through the dome (for thread) are sharp-edged which eventually cuts the thread, and the iron/steel back eventually rusts, which makes a rust stain on the uniform.
Under super-magnification, note that entire front of the button shows a "fabric" pattern. That's common on Fashion buttons, and never seen on actual Military (or Government-issue) buttons.
Specifically, your button is called a "Nautical Motif" Fashion button. It MIGHT be a low-quality imitation of some country's actual Navy button emblem.
Here's a closeup photo showing a pierced-dome self-shank back. The term "self-shank back" means the back itself forms the shank/loop for the attachment thread, instead of having a separately made and applied loop for the thread.