tmux quoting problem within display-menu

This command works as expected if I run it in the tmux command line:

list-panes -a -F "pane ID: #{p3:pane_id}  TTY: #{p11:pane_tty}"

Output:

pane ID: %1   TTY: /dev/pts/35
pane ID: %2   TTY: /dev/pts/36
pane ID: %3   TTY: /dev/pts/37
pane ID: %4   TTY: /dev/pts/38

But I fail in getting them to work within display-menu. The problem seems obvious (at least from my shell perspective): An additional level of quoting is required so that list-panes sees the format string and not its resolved value. But obviously I am doing it wrong:

bind-key C-t display-menu -T 'Test' \
    'List panes with tty' '' "list-panes -a -F 'pane ID: \#\{p3:pane_id\}  TTY: \#{p11:pane_tty}"

bind-key C-t display-menu -T 'Test' \
    'List panes with tty' '' {
        list-panes -a -F 'pane ID: #{p3:pane_id}  TTY: #{p11:pane_tty}'
    }

Output:

pane ID: %1   TTY: /dev/pts/35
pane ID: %1   TTY: /dev/pts/35
pane ID: %1   TTY: /dev/pts/35
pane ID: %1   TTY: /dev/pts/35