Connect sound to amplifier using tv's HDMI (ARC) cable

You need an HDMI audio extractor like this one
https/www.amazon.com/ViewHD-Extractor-Support-Converter-VHD-H2HARC/dp/B00LKF6CPG
That is more convenient than using a DAC to convert the optical out of the TV to analog that can be input to the Sonos Connect. You avoid having to use a long optical cable and use the HDMI cable that is already there (that's why ARC was invented).

So I recently got a Sony Bravia (model XBR-65X850D) that I mounted in the wall. On the other side, I run an HDMI cable from where the TV is located to a media closet, where I have a Sonos Connect, and an amplifier that is connected to a few in-ceiling speakers around the house. These amplifier only has AV input (red and white).

My goal is to be able to connect the sound of the TV to my in-ceiling speakers. I tried the following:

Step 1) Output sound from the HDMI 4 / ARC of my TV through an HDMI cable.
Step 2) Input the HDMI cable (located in the media closet) into an HDMI to AV converter (got the Coween to HDMI2AV on Amazon).
Step 3) Output AV cables (red and white) from HDMI to AV converter and input them directly into the amplifier (red and white).

It did not work though. Is there a problem with the ARC signal?

If this can't work I thought about these 2 alternatives:

1) Using an Optical to HDMI adapter (example here) to output the optical from the TV and convert it into HDMI. I would have to do the same after and use the HDMI to AV converter before inputing into the amplifier.

2) Use some type of bluetooth transmitter and receiver, one connected to the TV (ARC or optical) and the other one to the amplifier. This is an example of this.

Can somebody tell me if I am doing something wrong and what would be the best solution for this.

Thanks in advance!