Show binary sensors in Home Assistant's words and grey out what is off (0.2.62)

A binary sensor's tile and card now say what Home Assistant says for its
device class, such as Open or Closed for a door and Wet or Dry for a leak
sensor. The screen maps the class it already receives, with the same words
as the top bar and the history card; a test keeps both tables equal. A
history card still waiting for its answer no longer shows the previous
card's word.

Lights and binary sensors that are off turn grey, as in Home Assistant, and
a light without an icon of its own shows a crossed-out bulb while it is off,
on the tile and in the top bar. A chosen icon stays and turns grey.

Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>

docs/TEST_RESULTS_0262.md

@@ -0,0 +1,56 @@
+# Test results app 0.2.62 / firmware 0.2.53 (2026-09-17)
+
+A binary sensor tile read "On" or "Off" where Home Assistant says "Open" or "Closed", and a user (Remco) asked for a
+different icon for lights that are off. Max asked to do it the way Home Assistant's web interface does. See CHANGELOG
+0.2.62 and the compatibility note in docs/RELEASING.md.
+
+## Home Assistant's own behaviour
+
+- Source, `dev` branch: `homeassistant/components/light/icons.json` gives `mdi:lightbulb`, and `mdi:lightbulb-off`
+  for state off (switch, fan and input_boolean have the same pattern); the frontend colours active lights
+  `--state-light-active-color` (amber) and anything off `--state-inactive-color` (grey).
+- Live on Max's dashboard: lights that are on have an amber icon on a pastel amber circle; lights that are off are grey,
+  with a crossed-out icon where the icon has one; a light with its own icon (a mirror) keeps it and turns grey.
+
+## Automated
+
+- Python (`.venv-portal`): all tests OK. New `tests/test_binary_words.py` (5): the firmware's `BINARY_WORDS` equals
+  `header_bar.BINARY_STATES`; the top bar and the history card give the same words for all 28 classes, and On/Off
+  without a class or with an unknown one; every state message already carries `device_class` (no `x`); the tile, the
+  card and the history heading use the words for binary sensors only, and the heading only takes its own entity's
+  history words; all five text fonts of both profiles and packages carry every letter. New `tests/test_off_look.py`
+  (3): `lightbulb-off` (F0E4F) in the fonts of both profiles and packages; the firmware's off bulb and grey rule; the
+  top bar's off bulb, a light's own icon kept, no accent while off.
+- C++ (`clang++ -std=c++17 -Wall -Wextra -Werror -I. -I components/smart_display`): 15/15 PASS;
+  `test_tile_controls` checks door, motion, moisture, battery charging, battery, no class, an unknown class and a
+  wrongly cased class.
+- `generate_packages.py --check` and `generate_icons.py --check` (150 pickable icons, 184 glyphs) green.
+
+## Builds (ESPHome 2026.6.2)
+
+Check profiles with the generated packages and local components, as for 0.2.59. No warnings from `runtime_tiles.h`
+or `tile_controls.h`.
+
+| Profile | RAM | Flash | vs 0.2.59 |
+|---|---|---|---|
+| CYD | 23.5% (77,060 B) | 77.8% (1,428,127 B) | +0 B RAM, +1,112 B flash (0.2.60 and 0.2.61 included) |
+| Guition | 24.5% (80,436 B) | 18.9% (1,531,911 B) | +0 B RAM, +1,580 B flash (0.2.60 and 0.2.61 included) |
+
+## Firmware on the Mac (host builds, driven over the ESPHome API)
+
+A demo home with fifteen binary sensors of every kind, lights on and off, and the front door and a light in the top
+bar (`.esphome/readme-render/binary/`), with a probe that logs each card's text and colours:
+
+- Before (0.2.52 code): every binary sensor read On or Off in amber, while the top bar said Open and Motion; the door
+  card said "On" until its history arrived and then "Open"; the motion card opened after the door card said "Open".
+- After, Guition and CYD: Open, Closed, Motion, Dry, Smoke, Disconnected, Not charging, Low, Problem, Up to date,
+  Plugged in (also as a large value); a sensor without a class and an unknown class still say On. The door card says
+  "Open" while loading and after the answer, and "Closed" once the door closes with the card open; the motion card says
+  "Motion" while loading. The longest words fit a single CYD tile.
+- Off look (Guition): an off light without an icon shows a grey crossed-out bulb, an off light with a chosen lamp icon
+  a grey lamp, a closed door and a dry leak sensor grey circles; the open door, motion and a light at 50 % stay amber;
+  the top bar shows the crossed-out bulb for the off light.
+
+## Not tested
+
+- Physical screens: not flashed in this round.