on that test, i have the first 2 buttons (Logiciels and Plans de support) sets to toggle visibility of 2 layouts blocs with in each an embedded content block.
The first one show up, but the second shows only if you refresh the page and use the first block to show…
It looks like you haven’t told your links which group ID is affected when clicked.
Firstly, You must give your layout blocks the SAME group ID
Then when you create your buttons, you set them to open the relevant layout block. When these are set to SHOW layout Block visibility, you should adding the group ID of the blocks as shown below - this allows the displayed layout block to close when the other is opened.