2 Electric systems Wifi Range Help

v1.4.1.68 

I have a tall home that the router is being moved to a central location (now on the 6th floor).

The garage is 150' away from the house (and 50' long away from router location).on a seperate electric meter\main system.

THe crappy cheap range extender died today that may not have even worked as I am now finishing the man cave above the 3 bays below.

I have a smart TV upstaris and intend to put a smaller one in the bay area.

What is the best way (extender vs. mesh) to expand the home wifi to this area?

I have searched everywhere and haven't found a solution for these challenges.

I am interested in keeping with Netgear as the router has great range but is weak out that far and signal is lost \ drops on occassion.

I also intend to run a Klipsch App and would also like access to the Media server for the stereo\TV.

Your help is appreciated in advance.

Mikester