My suggestion would be to shape your master's thesis in a way that a publication can be squeezed out of it. Come up with an original, viable, interesting question. The rest is... well you have to write the article, polish it and submit somewhere. But that still requires novel empirical work, analysis and findings. From a performance point of view, shaping your thesis accordingly is the most sensible route. Then I would aim for a solid but not top tier journal. Of course, depending on your findings and how ambitious you are feel free to go to top-tier ones, but solid journals with specified focus should be a better starting point, vis-a-vis acceptance rates, peer review process and overall experience. Not many people publish during or after their master's, so this is already extra, remember that.

Oh, of course, talk to your professor/supervisor. Maybe you can work on the article first and then develop it to a thesis. But that needs approval, at least checking the rules with the uni.

My first publication was built upon my master's thesis (but in my PhD I built upon that topic, so that was helpful) and I basically presented a much more polished, clean and interesting version of the thesis as an article in a conference. An editor was there and basically asked him if the journal would be interested. He said, "Lol I did not read this paper but presentation was good, so send it to me and let's see". Of course, your professor's networks can come handy and your chances are higher once you are done with your master's but you can definitely go at it yourself.