QoL/Convenience regarding gem cutting interaction with stash

Sorry for the vague title. What I'm talking about is some inconveniences resulting from how the UI behaves when trying to do certain things.

(1) Cutting a Gem from within the Stash

After the gem is cut, the resulting skill gem is put back into the Stash.

I feel this is inconvenient because the only time I would cut a gem is because I want to use it. Now I have to go and find it among all the other skill gems in my stash.

Proposal: put the cut gem in my inventory, no matter where I cut it from.

(2) ESC at gem-cutting page closes the Stash

Steps:
1. Right click an uncut gem in the stash
2. Press ESC to cancel
3. The game closes the stash

I feel it should show me the stash, exactly where the gem I right-clicked is.

The reason is that when I cancel gem-cutting, it generally is because I've right-clicked the wrong gem (e.g. right-clicked a spirit gem instead of skill gem, because they look so alike and are placed right next to each other in the Gem Stash Tab), or because I decide to use a differet level of uncut gem (e.g. I right-clicked a level 1 uncut support gem but what I need is level 2).

(3) Have to pretend I want to cut a gem to see a list of all gems.

There should be a key or option to open the gem book without right-clicking on an uncut gem.

(4) Cutting duplicate support gems by mistake

When cutting support gems, there is no indication that the support gem already exists in my stash or inventory. It only warns if I'm already using one, but doesn't warn me that I already own one.

Proposal: add warnings "This support gem is already in your Stash" and "This support gem is already in your inventory".

(5) Sorting Gem Stash Tab by "gem level" is useless

It sorts all gems into only TWO categories: "Level 1" and "Level 2-19".

I cannot comprehend how "Level 2-19" is a useful category. If there is a scenario where this is useful, I'd love to hear about it.

Proposal: separate the "Level 2-19" cateogry into each level.

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I think this is it for now.