Is "must have four cats" the same as "must have got four cats"?

Solution 1:

I have 4 cats. = I currently own/am in charge of/possess 4 cats

I have got 4 cats. (British English) = (i) I have [very recently] received/bought/obtained, etc, 4 cats (ii) I currently possess 4 cats

(i) is more distinct in American English but the past participle is "gotten" - I have gotten 4 cats. This does not have the meaning of (ii).