Follow the active theme in T3 Code

T3 Code reads themes an environment publishes into its state directory, so
a generated t3code.json carries the palette the same way claude.json and
vscode-theme.json already do, and omarchy-theme-set-t3code republishes it
on every theme change for the app to pick up live.

The template overrides only the roles a theme actually designs -- terminal
and code surfaces, text on canvas, borders, selection -- and leaves muted
text, placeholders, and status foregrounds to T3 Code, which contrast-solves
them against whatever canvas it is given. Overriding those directly cost
readability on light themes: White fell to 1.0:1 on placeholder text.

Installing from the menu now routes through omarchy-install-ai-t3-code so a
fresh install publishes the current palette and opens wearing it.

default/omarchy/omarchy-menu.jsonc

@@ -248,7 +248,7 @@
   "install.ai.ollama": {"icon":"","iconFont":"omarchy","label":"Ollama","disabled":"omarchy-cmd-present ollama","action":"if omarchy-cmd-present nvidia-smi; then ollama_pkg=ollama-cuda; elif omarchy-cmd-present rocminfo; then ollama_pkg=ollama-rocm; else ollama_pkg=ollama; fi; omarchy-install-app Ollama \"$ollama_pkg\""},
   "install.ai.openclaw": {"icon":"","iconFont":"omarchy","label":"OpenClaw","disabled":"omarchy-pkg-present openclaw","action":"omarchy-launch-floating-terminal-with-presentation omarchy-install-ai-openclaw"},
   "install.ai.perplexity": {"icon":"","iconFont":"omarchy","label":"Perplexity","disabled":"omarchy-pkg-present perplexity","action":"omarchy-install-and-launch Perplexity perplexity perplexity"},
-  "install.ai.t3-code": {"icon":"","iconFont":"omarchy","label":"T3 Code","disabled":"omarchy-pkg-present t3code-bin","action":"omarchy-install-and-launch 'T3 Code' t3code-bin t3code"},
+  "install.ai.t3-code": {"icon":"","iconFont":"omarchy","label":"T3 Code","disabled":"omarchy-pkg-present t3code-bin","action":"omarchy-launch-floating-terminal-with-presentation omarchy-install-ai-t3-code"},
   "install.gaming.steam": {"icon":"","label":"Steam","disabled":"omarchy-pkg-present steam","action":"omarchy-launch-floating-terminal-with-presentation omarchy-install-gaming-steam"},
   "install.gaming.retroarch": {"icon":"󰯉","label":"RetroArch","disabled":"omarchy-pkg-present retroarch","action":"omarchy-launch-floating-terminal-with-presentation omarchy-install-gaming-retroarch"},
   "install.gaming.minecraft": {"icon":"󰍳","label":"Minecraft","disabled":"omarchy-pkg-present minecraft-launcher","action":"omarchy-install-and-launch Minecraft minecraft-launcher minecraft-launcher"},