How do I name this alkane with a branch that has bromine? I identified the orange portion as the longest carbon chain which is the first step.

Next, I can't call it 3-ethylhexane as the bromine is a branch from a methyl branch.

This is the problem I am facing. Since the methyl branch is on the 3rd carbon, and bromine branch is in the "branched" 2nd.

So, is it called as 3-(2-bromomethylhexane)? Or have I got it wrong?
3-(bromomethyl)hexane

You can't have a 2-position on a methyl group, there is only a 1-position and we omit redundant 1-enumerations of position.