@Philip Pape great question!
Like most things in real estate, there is no black and white answer to getting your Connecticut real estate salesperson license, but here are some considerations you might want to take into account.
Pros:
Savings on back-end Commission (This should actually be the easiest calculation for you to do - and really a question only you can answer: You will probably pay a Listing Agent 2.5% - 3% of the resale value of the homes you intend to flip. If you become an agent, remember that a portion of that will go back to the brokerage house. If the homes will be re-sold for $1M that savings can be significant, if the homes will be sold $100K it may or may not be worth your while.
Earn money buying the house: You can make a percentage when you buy the home.
You can run all of your own comps (and still run it by your own broker for an expert opinion)
You PREVIEW ANY HOMES YOU would like so you can A) see what you should do to your flip based on what comparable homes are doing, and B) get a good idea of pricing on homes . This to me is huge (and got it from@J Scott's THE Book on Flipping Houses). How many Realtor's are going to spend hours with you looking at comparable homes that they will never sell you.
You will learn some good information at the real estate course
You can possibly make ancillary money in real estate doing a lot of other things.
Cons:
Spend 60 hours of your time, in addition to taking and studying for the exam
Financial cost from: the State of CT, the MLS, joining a Realtor board, and possibly brokerage
There is some information that you will need to know by being your own agent and putting a house back on the market, so are you capable of it? (It's not too difficult, but does require a skillset of science & art)
You may or may not have an agent that will be at your beck and call to lean on.
Hope this is helpful in your decision making process.