Bike fits do work for some but I would be a bit cautious in paying serious money for one at the stage you are at right now. This will be your first road bike and the bike should be of a size that will fit you. By that I mainly mean that the saddle will be able to get to the right position and that the bars will be the right height for you as a "Novice" road rider -and be the right distance from the saddle to give you the correct length of cockpit.

That is for how you are NOW

Your body will change and adapt and what fits now- could be wrong in a few months. Doesn't happen to everyone but the first criteria is the correct size frame. Saddle height- fore and aft position and saddle tilt comes in next. That may change a bit over time but not much. Reach to the bars and bar height could change greatly though.

The LBS should set these basics up for you when you buy the bike. If they don't then it is not the LBS for you.

But other items like bar width- stem length and changes to the initial fitting can only be found as you adapt to road riding. Then in a few years time and you need the ultimate in performance- It might be worth paying for a professional fitting. On my second bike- the LBS set the bike up for me and changed one item which was the bar stem length. Then sent me out for a ride and I was gone for a couple of hours. Went back to the shop and they asked what needed changing and my reply was nothing. Since then I have modified the fit but that is due to me changing my riding style as I aged/improved/progressed.