Something doesn't seem quite right about the CTA block: the button is apparently aligned to the center only prior to text populating it, meaning that as soon as soon as you supply text the button is off center. It doesn't seem ideal to require the user to manually re-center after supplying text. There may also be issues here with responsiveness.
Also, the URL field needs some border when not focused as right now it is dangling in the phantom zone.

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The cause for the "bug" is the ability to drag the button: https://github.com/ampproject/amp-wp/issues/2781
It's positioned with absolute and the default value makes it look like it's centered. Perhaps centering the CTA button (or making it look centered) with the default text is not the best idea then?
Maybe just setting the left value to 5% (as in case of other blocks) would be a more clear option.
Some more examples of this can be seen in https://story-test-wordpress-amp.pantheonsite.io/stories/today-in-pdx/
In the editor I thought I centered the CTA button:

But when viewing the story it's clear I did not:

This is in desktop.
It looks better in Pixel 2 mobile emulation:

So it seems to be an issue with the responsive positioning.
Thanks for the additional details, will look into this.
Looks like the positioning itself is responsive (e.g. 15% left on both cases), however, since the width of the button depends on the text content only then it doesn't really work like this since the text size isn't responsive. And maybe it shouldn't be, otherwise, the text might look huge in some cases. Although perhaps it would be a case only for landscape?
One option for the landscape could be adding a wrapper around the CTA button which would have a maximum width of a smaller device and thus keeping the positioning base on that, too.
For the smaller devices, we could still try making the font size responsive as well.
Not sure. Thoughts?
cc @swissspidy
Summary from discussion with @swissspidy:
Perhaps we could do this in two steps. Improve responsiveness first, then switch to an inner blocks implementation with resizing, dragging, etc. We'd probably want to restrict the core/button block usage to the CTA block only.
Dragging is already working which kind of creates the responsiveness problem. Being able to resize the button would nicely fix that issue.
It's true that changing it drastically might be out of scope for this bug though.
An alternative could be:
This might be a better first step to avoid deprecation, although, we might need it anyway for the changed width/height values.
Thoughts?
Closed within #3453
Front-end Preview positioning is off
Editor:

FE:

@jauyong, as this doesn't have clear AC nor Test Instructions, I feel we're talking about different things. Can you move this back to definition to have it clarified?
Hey @ThierryA @amedina ,
Per the above, can we discuss this ticket. I'm still trying to figure out the flow / process for this project so let me know how you want to do this e.g. async, setup a meeting, wait for our next grooming...
Thanks.
Hey @jauyong, the best is to ask your question on the ticket mentioning us if it needs our attention. Based on the question, we will be able to answer or point you to the right person. If you are not quite sure when it should be dealt with, feel free to bring it up to @kmyram or in one of the meetings.
I think the issue here is that this ticket has been created before we switched processes. Also, it's a bug report for a feature that might not have had a clear AC before.
I'll try to get up to speed here.
Thanks @swissspidy . I added a couple AC based on Weston's original comments for now. And again I'm still figuring out the correct process to make things efficient so your guidance is always more than welcome.
Updated the AC-s based on our sync today, will move this back to In Progress to finish it up.
This was discussed again in our new weekly design review. We came back to the idea of automatically centering the CTA block if, and only if, the block hasn't been moved already.
What about a block setting of "Center automatically" instead, to make things more understandable as to why something is happening?
But okay, let's see how the users react to the suggested option.
@miina Good idea. We can flesh out details there 👍
Verified in QA
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This was discussed again in our new weekly design review. We came back to the idea of automatically centering the CTA block if, and only if, the block hasn't been moved already.
3582 is a good solution in the interim. This proposed new behavior would go into a future release, so I'll create a new issue for it etc.