I mean by law you are permit is tied to the employer and you can't work for anyone else. Once you get CoPR (EE) than you dont have to worry about it. For PNP, once you get EOI, you will likely get a support letter which again will be tied to the employer aka close work permit, and you will have to stick with them until you get CoPR.
Hope this help also seems like you are over employed lol, many candidates are looking for such employer who will help sponsor PR!