"run_command" click_event doesn't work in written books if chat is hidden

The bug

run_command click_events don't work in written books if chat is set to "Hidden" in chat settings. Signs are not affected.

How to reproduce

1. Give yourself a written book with a run_command click_event:

   /give @s written_book[written_book_content={title:MC-187850,author:j_p_smith,pages:[{text:"Give stone",click_event:{action:run_command,command:"give @s stone"}}]}]

2. Open the written book and click on the text

3. Click “Yes” to confirm command execution
   → ✔ You are given a block of stone

4. Set chat to "Hidden" in chat settings

5. Repeat steps 2–3
   → ❌ You are not given a block of stone