Often there is an airgap in newer construction between the brick work and the wall .. behind that there should be some sort of house wrap ( ideally we want to minimize holes in the house wrap and definitely want to try to watch out for potential water intrustion.
If you see similar houses being constructed, pay attention to how they are built, as that should give you some clear ideas of how to approach the job.
It's a pity you didn't ask them to run cables at the build stage.
What is dscribed here is a cavity wall. It's been the UK's standard method of contruction since forever (probabl at least the 1800's!).
Modern homes have various obstructions and fillings in th cavity that may make ghetting cable access through harder. The picture below shows a basic cavity. You have a brick or stone outer wall with either a brick, stone, or block inner wall. Between this are steel rods called wall ties. Their purpose is to fasten the 2 walls together to prevent separation. Between the spaces between the wall, in all but tropical locations is placed insulation. I presume this will be the same mode of construction for the US:
The obvious complications are:
1 The steel ties albeit these are spaced out so plenty of opportuity to miss or force a puller rod round them
2. The type of inusalation. Older houses tend to have retorfited insulation which is often blow mineral wool and loose. Easy to pull through. Newer houses like yours may have mineral fibre solid blocks as pictured or solid insulation foam blocks such as celotex etc. These you will not be able to pull / push through as they're solid. You may be able to get a wirre down the side and in warmer locals you may get lucky and find the insualtion is thinner and doesn't take up the whole cavity bu it fixed to the outer wall.
The final complication you can get is closers. The cavities are usually clsoed these days at the top in the attic although I think you may enocunter these sometimes between floors - I'm not a builder! These literally close off the cavity gap entirely as pictured here (cream area):
You could try asking your builder how it's contructed as it's a new build as this might influence the decision whether to DIY or get a professional in.
