After much state budget wrangling, King County's 4Culture will live to fight another day. Thanks to its continued tiny allocation of the state lodging tax--thanks, tourists!--the county agency can continue its dispensation of grants and commissions of new work from local artists. Its headquarters in the Tashiro Kaplan building also house the Gallery4Culture, a central fixture on First Thursday art walks. And now its funding seems secure for years to come--unlike that of some local galleries and museums. BRIAN MILLER 101 Prefontaine Pl. S., 296-7580, 4culture.org