Should i get my paramedic so that i can go straight into er when u get my RN?

So I just got my EMT for my RN program because that used to get you extra points to get into the program(if you were a tech i should say but iyou can do that with your emt).... but then they changed the point system to where that is not the case anymore. I loved my er rotations though and am going to get my rn no matter what, but i want to go into er for sure.My questoin is should i get my medic so that when i get out of nursing school i can go straight into er or is that even how it works. Here in dfw all the 911 is done through the fire departments so i could only work as an medic in the er as a tech or something like that anyways if that matters. so pretty much is it worth my time to get my medic because no matter what im going to be working as a tech while im in nursing school (hopefully in er but well see) just the difference would be between me just being an emt or a medic as far as getting hired right out of schoool for er.
My thought is that an RN/eMT-B with 2 years of tech experience is going to be better off than a new RN/EMT-P with no experience. If you can get in as a tech in an ER you will be an internal hire and already know people (like the hiring managers). Plus, nursing school is super busy. I wouldn't recommend adding a medic program on top of that.
Hmm - 2 different professions with different scopes of practice. EMTs are first responders - their scope of practice does not include acute care (inpatient). In many states, including mine, EMTs are considered "unlicensed personnel" who must work under direct supervision of a RN or MD if they are employed in an ED. There is overlap in the technical skills, but other than that, I don't see any advantage.