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close family vs. extended family.
Cousins are considered extended.
Regarding OPs problem, cousins are one step further removed, so they are definitely extended family and thus not eligible for blood alliances.
https://ck3.paradoxwikis.com/Alliance#Negotiating_alliances
So parents, siblings and children can always negotiate an alliance because they are directly related within their immediate family.
IIRC - you also should be able to negotiate an alliance within your own uncle/nephew range, so the wiki doesn't seem to be correct. These are as close related as half-siblings and parents, after all. While cousins are beyond the limit.
For alliances based on marriage ties, the idea is that the alliance partners must not be further connected than 3 steps of relation.
Example of valid alliance with 3 steps:
You > Your son >> Other ruler's daughter > Other ruler
You > Your brother > Your brother's daughter (niece) >> Other ruler
You > Your son > Your son's daughter >> Other ruler
Example of invalid alliance with 4+ steps:
You > Your brother > Your niece >> Other ruler's son > Other ruler
You > Your father > Your father's brother (uncle) > Your uncle's daughter >> Other ruler
This also should work the same for negotiated alliances if the marriages exist.
Just note that with the death of your ruler, the total steps of relationship may shift one degree closer or further away.
Because for example if the marriage was based on your old ruler's niece to another ruler, she would be your new ruler's cousin and thus excluded from marriage alliances.
In turn, if a marriage was made for example between your heir and another ruler's aunt or niece, the death of your ruler brings them one tier closer and thus they should be able to negotiate.
I was playing as the dad, marrying my daughter to the guy and got an alliance
Then I died and played as my son, whose sister (the daughter) is betrothed to my cousin but I lost the alliance.
If I break the betrothal and re-betroth them, my sister and my cousin I gain back the alliance. So seems kind of like a bug or oversight :(
Betrothals definitely give an alliance. That's like half the fun of it.
Like getting that emergency alliance when you betroth your 1 year old daughter to some 89 year old neighboring king.
In that case you need to wait until the betrothal gets turned into a marriage, which can potentially be *never* if the foreign partner is in prison.