Counting furniture inside rooms

I’m trying to count the number of seats for each room and set them into the room instance parameter.
Any ideas on how to do this?
I was able to filter out the seats but I didn’t know how to associate the furniture location with the rooms?
Here is a screenshot if it helps. Thanks

Here is a quick video in showing how to make a multi-category schedule in Revit.

https://www.youtube.com/watch?v=QleBhvTlJXg

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Something like this?

RiR-UpdateSeatsCount.gh (14.7 KB)

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Now that is a fun use of the Clash component

Thank you everyone for the ideas! That worked perfectly.
Now, I’m going to try to filter the furniture that are only seats!

The solution works great but I wanted to see if there were any other way to find the solution without using the clash component.
I want to work with more families and its quite slow when I use the clash component.
Any ideas?

Ren