What does “on the other hand” mean?

used to introduce different points of view, ideas, etc., especially when they are opposites

How is “on the other hand” used?

In Paths of Glory (1957), one line is: “But on the other hand, I don't mind not having a tin hat for my tail.”

The clip at the top of this page is from Paths of Glory (1957).

But on the other hand, I don't mind not having a tin hat for my tail.

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