Adds new integration [aradlein/hass-agent-llm] (#4756)

* Add Home Agent integration

* Fix: Sort aradlein/hass-agent-llm alphabetically

Move aradlein/hass-agent-llm to correct alphabetical position
between Appartme and Archef2000 (case-insensitive sorting).

🤖 Generated with [Claude Code](https://claude.com/claude-code)

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

---------

Co-authored-by: Joakim Sørensen <joasoe@proton.me>
Co-authored-by: aradlein <aradlein@users.noreply.github.com>
Co-authored-by: Claude <noreply@anthropic.com>

integration

@@ -136,6 +136,7 @@
   "Aohzan/ipx800",
   "Aohzan/ipx800v5",
   "Appartme/Appartme-System-HACI",
+  "aradlein/hass-agent-llm",
   "Archef2000/homeassistant-upsplus",
   "ardevd/ha-bobcatminer",
   "ardevd/ha-dimo",