Abby Normal wrote

You want some other system besides the strips, then get some
other system inline with the air coming off the primary system.

Sure, you could put the ductless split system output there.

It'll work fine in the central area tho.

Or put a booster unit in each room

No need.

Or put another ducted system in,

Stupid approach.

either figure out how to make it share the
same ductwork or put in its own ductwork.

Any way you look at it, the central booster
is a dog. And that dog don't hunt.

Wrong, as always.

No surprise that you are a drunken unemployable HVAC ape.