You might want to bump this up. I have the same strip you are looking at, but one that’s just 4000k (no color temp control) and it pulls a pretty consistent 66W with spikes up to 71-72W.
Yes, but not without setting up some advanced stuff if this is your first foray into HA. That controller can’t natively do color temperature control which the strip you’ve selected uses. You can use it for temp control, but would need to setup some custom entities for it.
Alternatively, you can get a static color strip like this one:
https://a.co/d/flJoFFa
The Shelly has an option to change the firmware to do just white (basically just on/off/dimming) with each output instead of RGBW.