Creator: Block settings toggle button doesn't work

From https://github.com/WordPress/pattern-directory/issues/554#issuecomment-1450907452

Also, I think I've found another issue. The block options (settings) sidebar panel behaves somehow strange:
First, it does not open when I am editing a block. I need to enable it in "More tools & options" menu in the upper right corner (the 3 dots).
And then, when I close the panel, I can no longer open it. And yet, it has checkmark in the "More tools & options" menu even if it's closed/hidden.

To reproduce:

• Edit or create a pattern
• The "Settings" sidebar toggle in the header should be visible
• Click to open the sidebar, it should open to the Pattern tab unless you had a block selected, in which case it will open to the Block tab.
• The icon is now white on black, active state
• Try closing the sidebar (either with the X or by clicking the icon again)
• The sidebar disappears, but the icon is still white on black, active state
• Click the icon again to open the sidebar
• Nothing happens

Start by reproducing the Settings sidebar toggle while editing or creating a pattern, following the steps in the issue. Check the header toggle, its active state, and the sidebar behavior after closing it; done means the toggle can reopen the sidebar and reflects its actual visibility.