Green’s Dictionary of Slang

mulled (up) adj.

drunk.

1931		D. Runyon ‘Lillian’ in Guys and Dolls (1956) 232: Wilbur Willard all mulled up to a million.
1947		(con. 1944) J.H. Burns Gallery (1948) 9: The vermouth was now well into his brain [...] He began to taste that half-mulled feeling of time deliciously unrolling before him.