<human>: I just started a job at a university in mid-August. I was having some difficulty even getting interviews at the type of jobs I wanted so I made some compromises and was then able to get hired in a job that is good for my career, albeit a little bit inferior in most ways to what I truly wanted. The idea was to ride out my 8 month contract and start applying for new contracts that would start in May, June or July for the jobs I was looking at (typical hiring season for higher education where I am). I have a lease on an apartment in town so I didn't envision cutting the contract short.

Now after 2 months I've learned of a new job opportunity that is exactly what I was looking for before, and it sounds like my experience really lines up well with what they're looking for. It's what I'll call semi-internal, in that it's not with the same organization (honestly, it's with a better one) but it's physically at the same university. It also comes with a $10,000/year pay increase (not a huge factor for me, but noteworthy nonetheless).

I know they hired me expecting me to stay where I am for the whole contract, and that's the impression I've been giving until now. Especially considering I'd be working closely with my current supervisor in my new job, should I bring up that I'm interested? Should I apply without saying anything? I will say that it's the type of position likely to have many qualified individuals applying so I'm not 100% sure I'd even get it.

Can you condense the text into a few key points?
<bot>: Started a new job 2 months ago, but a better contract that I'm more suited for, pays more and is overall better for my career has opened up internally. Is it appropriate to apply for the new job?