Should I break up with my girlfriend because of my financial situation and its effect on my mental health?

For context, my girlfriend (24) and I have been together for 6 months now. I'm 24 year old recent graduate and have yet to enter the workforce in my field. I am embarrassed by the fact, but have been trying to apply to numerous jobs and expand my job field and still seeing no positive results. The people around me, such as siblings, girlfriend, peers within my program and/or age range, are all experiencing a more fruitful lifestyle because they all are working in the field and holding down impressive job titles. Meanwhile, I am watching bills take away the little money I have, while having to be extremely cautious about how much money I can spend on dates with my girlfriend. When away from my girlfriend, I don't go out, don't eat out, don't buy random things from online shopping, etc.

I feel like I need to dedicate a lot more time to working on myself, my academic/work related skills, and mental health in order to overcome the shame and embarrassment of being broke and feeling hopeless. I feel like I cannot provide the relationship that my girlfriend has requested and deserves.

Should I break up with my girlfriend because of my financial situation and its effect on my mental health?

Also, is it an acceptable reason to break up due to how financial concerns can effect one's mental health and ability to show up in a relationship?

Should I break up with my girlfriend because of my financial situation and its effect on my mental health?
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