Can I get a multiple-entry tourist visa to work in Japan?

You can't. You cannot work in Japan with a Japanese tourist visa. All regular stores, whether private enterprises or group companies, will not hire you. Even if you find someone who is willing to hire you, you are still a black worker. You have to bear very big risks yourself, and your personal rights and interests are not protected by law. As long as it is found by the immigration department, it will be deported /zd/xx.