Typing while the textarea was unfocused doubled the FIRST letter: the always-active
handler did ta.focus() AND ta.insertText(key.sequence), but the renderer runs the
global useKeyboard handler BEFORE routing the key to the focused renderable — so
after focus() the same keystroke was also delivered to the now-focused textarea,
inserting it twice. Subsequent keys were fine (textarea already focused → block
skipped). Fix: focus() only; let the textarea insert the char it now receives.
Verified live: typing 'x' then 'y' while blurred yields '❯ xy' (no dup). 85 pass.
bd3c253420