@wwhitney @philgrocks
Agree with everything Wayne said, it is a minimal impact way of getting the PW connected.
I'm going to approach from the tear up side of things with a focus on backup capability.
You have a lot of loads that can be shed during an outage, but they are distributed to both panels. To make the overall system work automatically, either the loads need to swap panels so that one has all the criticals (and less load than the system can provide), or cut outs need added to inhibit the large ones. Wayne, do you know if the gateway has an accessible status signal?
A potential overall issue is that your current panels are mostly full (all populated, but there are 2 doubles turned off and 4 other spots not labled). Depending whether the panel allows duplex breakers (or adding a subpanel), that can be worked around. (Wayne's setup avoids that issue). A complicating issue with change is the Arc Fault requirement which may kick in if you modify things (unless you currently have AFCI outlets).
The tear up plan:
Move your backup loads to the left/ solar panel.
Change the 175 service breaker back to 200A.
Place a 200A mobile home feeder panel in the garage between the meter disconnect and the left panel feed. PW0816B1200TC or similar.
In the mobile home panel, put the 70A pool breaker and 50A EV circuits from the garage load box. Install filler plates to cover holes. (It may also make sense to move the other EV load panel here based on final panel load calculations)
Locate the gateway near the left panel in the feed path to the panel.
In the left panel, downsize the garage feed breaker based on new loading, connect PWs, and add a new main breaker rated for the solar/ PW back feed.
This reduces the loading on the left panel to match new main breaker and gives you backup for both the house and garage circuits. If you need even more flexibility, there is a manual generator interlock kit for the mobile home panel. With this, you could place another panel in the feed for the right panel and then manually turn off the large loads and switch to backup power fed from the left panel. Can also use it to connect a portable generator.
Wayne, please correct if I miswired.