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Map of the Battles of the American Revolution
(lemmy.world)
Please note state lines were disputed as depicted. Notably NH had older claims to the VT territory claimed by NY. And this list isn't all inclusive, there were many small fights.
Is there a higher quality image?
I found it sold on this website that's mainly focused on gifts for early US history buffs. You might be able to get a slightly higher resolution version there. But I suspect they probably have the actual file not publicly available as they sell prints of it.