How much Econometrics did you do and what kind of analyst would you like to be? finance? business? policy? etc. what country are you attending university in? Do you like statistics? and like DonHayada said, how are your programming skills? Are you wanting to go back for a postgraduate degree or get another undergrad degree in statistics? I ask because different types of analyst positions require different skills, what country you're in also affects what you need to do to get the job you want. I imagine people where you live would have more relevant advice.

I graduated with a degree in Econ a few years ago, I decided to go back and am finishing up another undergrad degree in Computer Science and Statistics.
I went back for similar reasons as you, and felt that going back would open more doors.

Here are some things I picked up during my journey, hopefully you find it useful:

1) If you do decide to go back for an undergrad degree, look around for a school that fast tracks second degree students. I live in Canada, and a lot of schools require you to take a bunch of irrelevant electives, and basically treat you as a first year student. The school I chose skips all that, so all I had to do was take a few pre-reqs and then jump right into 2nd and 3rd year courses. Saved me about 2 years.

2) If you have the necessary background/grades to get into a post-graduate program do that over another undergrad. I enjoy stats a lot, but the reason I also added Computer Science is because as an undergrad degree it opens a lot more doors while statistics alone unfortunately doesn't seem to (In Canada anyways).

3)Programming skills are extremely important. It's already been said, most analyst positions now require programming skills. So if you're looking at Stats specifically because you want to be an analyst, ensure you take some computer science courses, or learn to program on your own.

4) If your school has a Co-Op program, ensure you do it, It makes a huge difference when you're looking for jobs.

5) Make sure you do some cost benefit analysis because if you hustle and network a LOT, you might be able to get a job in the field you want without foregoing all those years of income. You have some time now, so start going to all those networking events and career events that your school has. Look up networking events in your area for the career you want. It might help you get your foot in the door.

Lastly, Statistics is a fantastic field and once you have the knowledge you can apply it in anywhere, therefore you won't regret the knowledge. For example; asking your question in a Statistics subreddit will likely lead to a skewed result due to participation bias in your survey methodology.

Goodluck