Tech support position for a large Hedge fund

I just got an offer as a technology analyst in a BB right after I graduate. However, I have been recently contacted by a headhunter, telling that there is a tech support position at a decent hedge fund available. As the job description entails, I will work closely with technology team and be the point of contact for IT support issues relating to the CEO. Would this be a great learning opportunity? Should I even bother to apply this position? I thought those headhunters are looking for experienced professionals.

Or should I stick to my current job and learn from the BB before I go anywhere else?

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