[verb ます-stem] + 放題 [verb ます-stem] + たい + 放題
放題 goes on a verb's ます-stem and means "as much as you like", with no limit. The result is a noun: it takes の before another noun and だ or です at the end of a sentence. You meet it first on menus and price lists.
Outside a shop, 放題 describes something nobody is controlling, and it sounds critical. With an intransitive verb, a thing has been left to run wild; with a transitive one, someone has been left to do as they please.
With たい between the stem and 放題, it means "doing whatever you want", and the criticism is stronger: the person ignores everyone else.