Referencing this topic - I appear to be experiencing similar/the same issues as noted here using the new panel.
The panel appears to grab keyboard/mouse input at some point after it is hidden using the keybind.
This is something in inadvertently discovered as I don’t generally use the search/other text boxes in the panel. As such I tried to recreate but struggled - my initial theory was that if I clicked in a spot where a text box was on the panel - whilst it was hidden - it would reproduce the issue but alas I could not.
Whilst the sim is in this state I cannot use the mouse or keybinds to interact with the 3D cockpit or camera. I can still use the mouse to interact with the menu bar for example or bring up the pause menu. In the end I think the fix for this was to use the menu bar to disable the Navigraph panel from appearing there and a minute or so after doing this the sim started responding normally.
Sorry offer more information - the only thing I know is that this issue appears to be one caused by this panel (as did the previous version).
If there’s anything I can help with to help identify please do let me know!