>>>>>So does this mean that block editor will open every time
>>>>>I doible click on that block now?

Yes

>>>>I would really appreciate it if you could point out how you were able
>>>>>to pick this if you wouldn't mind please?

You attached screenshot with block selected inside Block Editor, so I figured out that you nest one block into other.

If you need to add additional attributes to the existing block you need to open original block (which behaves correctly when you double-click on it) in Block editor and add attribute definitions inside block editor using ATTDEF command.
Than you need to reinsert block to see new attributes in it or edit it with BATTMAN command.

Maxim