Within the Al-Hasakah Governorate / Jazira region (don't know what's the best designation..), how exactly is the regional spoken Arabic?

I find different linguistical maps and info that leave me a bit confused.Cities like Al-Hasakah, Qamishli or Ras al-Ayn, for example, do they speak an Arabic closer to Damascus or to Badgad, or something else entirely?

(Among the many different names for what is supposedly the local variety of Arabic I've seen or heard at least once described as any of the names below:- Mesopotamian;- North Mesopotamian;- North Syrian;- North Iraqi (yes);- Qeltu;- Shawi;- Badawi.)

It is very much possible that some of these names are synonimous, or just differences between saying them in Arabic or in English, but they can't all be the same thing. Even in linguistical maps the glossary changes, it gets confusing.

What exactly is their dialect after all, and how could we go about learning it?

(more info on why I want to learn it in the footnote)

Suppose I have a scholarship to improve my Arabic before going to the region and that I could choose between Beirut and Bagdad (unfortunately Damascus is not an option), which one should I take? Also would you recommend I buy books on Levantine or rather on the Iraqi dialect?

Edit: if you or someone you know happen to be from the aforementioned region and would like to be a language or culture exchange buddy, or just make friends and teach about your language and culture, do not hesitate to reach out to me. I would be HONORED and THRILLED to develop this communication. If you're interested I can teach Hungarian, English, French and Portuguese.

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Footnote: When things get calmer and safer in the region I would really like in the future to go on visits over there related to archeology and history of the Akkadian empire and other ancient civilizations. As part of my preparation I seriously plan on learning the local language. It has been impossible so far to find resources to study the region's Arabic dialect (if you happen to know any then please share/indicate); however there are plenty on both the Levantine (Beirut and Damascus mainly) and Iraqi (Bagdad) dialects.

The usual response is "go with Levantine, you will be understood and it is the prestigious one" (or with Fusha, but this is out of the equation now, I want to focus on a spoken language). I thank and respect that suggestion, but I still question it because I happen to speak other languages that have dialectical/regional varieties and something that I've learned is that very often the "prestigious version" is looked down in some places and target of prejudices, misunderstandings and purposeful distances too. Often carrying prejudices like being the speech of "fancy city folks", "elitists", "foreigners", "innocent tourists", "wealthy outsiders", sometimes even "imperialists" depending where you are and your political views... I truly want to sound as local as possible, no matter how non mainstream it is.

An example I could give in English is: if you intend to work in Jamaica don't learn how to speak American or British, strive to seriously speak Jamaican (this one is personal, I lived in the Caribbean and can tell you your social experience is vastly different; your experiences and relations much more genuine too).