notepat-remote: case-doors unfocused overlay
Replaces the red-X/"click to activate keys" unfocused overlay with an
instrument-case metaphor: when focus is lost, two warm-black panels
slide in from the left and right edges and meet at a chrome seam in
the center; when focus returns, the panels retract to reveal the
pads. doorPhase lerps smoothly each paint so both transitions
animate.
Bezel + octave divider are now drawn unconditionally (no longer
gated on \`focused\`) so the "case frame" stays visible during the
door animation — the panels slide *inside* the case.
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