How to show tags into broken groups

I have created 2 different groups and placed different tags inside them however the tags page continues to show everything under “All Tags”.

How can I make it so tags can be broken down under their relevant groups? (Something like below without the head group name clickable ideally)

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So upon more research I realized that you can create those type of “grouping” by making the item specifically for a category. And the headline for the group is actually the category not the “group” name.

I still think it would be valuable to allow us to actually show tags in the segregated groups we made.