Declaring war when enemy spy is killed. Which is the warmonger penalty?

Solution 1:

Put simply: no.

Every time you declare war on a Civ you gain 250 flat warmongering "points". This is just a raw value that represents your warmongering level which is then adjusted for individual Civs based off of their leader's warmongering-hate level.

Sort of interested in your source for the team war declaration causing halved warmongering - it's my understanding that you simply get a flat warmongering score from declaring war, however the city capturing points can get halved based off of war statuses between civs.