With exposure to popular view or notice; without concealment; openly; as, property publicly offered for sale; an opinion publicly avowed; a declaration publicly made.
in a manner accessible to or observable by the public; openly; "she admitted publicly to being a communist"
Let me publicly declare the rule (again): if the adverb comes from an adjective ending on -al, you include that ending in the adverb; if not, as here, you don"t.