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However it will hate you for many years before you can integrating it.
Also, if the cumulated pop of all your angry vassals + any disloyal provinces of yours is over 20% , they will start a civil war for independance just a few years after you submitted them, so in that case it's not worth.
I did that mistake with Rome as I vassalized Carthage, they were weighting 21.1% of my total population (vassal included) so there was nothing I could do to prevent the civil war.
I would have just needed 300 more Pop to avoid that, but there was no way I could get them in time by the moment I realized and made the calculations...
So I'm reloading my last save before the peace deal and this time I will just take half their land and then take my time to make sure the new provinces gets loyal before I subdue the rest of Carthage again !
Also, it looks like the original estimate is an underestimate. All my integrations take longer than the initial estimate. I think maybe it doesn't account for population growth, and if that's true integrating a large state might be essentially impossible.
My plan anyway was to keep Carthage and Macedonia as buffer puppet states after subduing them, but I will have to get bigger in pop first if I don't want them to rebel !
If only the game was lasting more than 276 years... (I know, it's easy to change in the files)