I don't think we ever get an explanation of why Alexis shows up in the first place. Hey, it's the DS universe! No explanations necessary!
Cyrus then goes to the Eagle, looking very ill at ease, and orders a sherry. Like the Blue Whale, the Eagle hasn’t changed its jukebox records since 1966. [We hear the Blue Whale theme, and the window looks like the Blue Whale window through which the werewolf jumped.] The bartender (Kenneth McMillan, later Rhoda Morgenstern’s boss and then Baron Harkonnen in Dune) smiles at his choice of drink and has to open a bottle.