Green’s Dictionary of Slang

(US) an intensified version of absolutely.

1919		Ocala Eve. Star (FL) 23 Dec. 2/2: I could mortgage the Ford [...] or not buy the baby new shoes [...] But I absodamlutely refuse.
1962		J. Viertel To Love and Corrupt 271: ‘You’ll build me one, won’t you?’ ‘Absogoddamlutely.’.
1967		Prospero’s Cell 10: You’re absogoddamlutely too goddam much, and I’m scared of you. OK?
2002		posting at ordinarymorning.net 🌐 I just have absogoddamlutely not a thing to say.