If mexico was not invaded by France during the American civil war; would it have invaded America to reconquer it's territory?

Would mexico try to reconquer it's territory from the United States during the civil war; if it never got invaded by France?
Seeing as how the country was recovering from their own civil war that had left the country in an awful state, no. No Mexican leader would have been foolish enough or bluntly insane enough to start another war.

This is especially true if Benito Juarez is still president. Since the United States had just recognized his government as legitimate during the Reform War.
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