Hi,
I’m afraid this may not be possible at all. There are many reasons, but mainly it is because how generally WordPress works. Each search bar can be attached to one Elementor Posts container only.
Even if there was a way to override all widgets at once from the same search bar – each of them would display the same exact results – as it is the designated container for the same search query. I suspect that is not what you want here – you probably want the Yoga Poses results in the first and the Transitions in the second etc..
This is unfortunately not possible. It is a very complex issue, I don’t think this is possible at all in general, and even if so, it may be extremely problematic.