It really depends on what you’re trying to accomplish.
I mentioned in your other thread that I haven’t seen anyway of opening up the supervised accounts to SmartHome control regardless of the platform so that seems to be something you’ll need to bring up with Google support. It’s affecting lots of platforms and brands, not just SmartThings, and it seems to be a decision on the Google side.
As far as the best way to handle linking a Hue bridge to multiple Home Automation platforms, as I mentioned, it really depends on what you’re trying to accomplish. Different methods will work for different people.
By far the simplest (and the best way to avoid duplicate entries) is to use matter to connect the Hue Bridge to any platform you want to use it with. That should work fine, it will avoid duplicate entries, and you will still be able to use the Hue devices in their own app as well as in the app for each platform. However, this method doesn’t support all features. For example, if you like circadian rhythm lighting in Apple Home, you’ll lose that if you use the matter integration between Hue and Apple.
Also, the native hue integration to Alexa brings in The Hue scenes that you created in the Hue app. At the time of this posting, the Matter integration does not. (That might change in the future.) i’m not sure how that works with Google. I know the matter integration doesn’t support Hue scenes, I just don’t know if the native Google integration does.
The matter integration doesn’t bring in rooms to any platform at the time of this posting. Some of the other Hue integration methods do.
So there’s just a lot of variation, depending on the details.
At the time of this writing, I personally prefer the native Hue integration to Alexa and Apple Home, and the custom community built integration to SmartThings. But mixing those does mean that I get duplicate entries in Alexa which I then have to disable. Which is annoying, but worth it to me for the other features which I get.
So if you just want simple, use the matter integration to everything. But if it’s missing some advanced features that you used to have with other integration methods, you may have to go to a patchwork like I use.