Truman asks for a formal declaration of war against North Korea

I presume that Truman got some kind of Congressional approval at least for the money spent in the Korean War. However I understand that the US did NOT declare war as such.

Would it have made any difference if they had?

1) Would it have made Truman's domestic situation stronger?

2) Would it have made the war bloodier?

3) Would it have made the cease fire harder?
 
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