fix(settings): limit model provider agent types and adjust card layout

Restrict supported agent types to Claude Code, Codex CLI, and Gemini CLI. Reposition agent type badges to be vertically centered beside the name and API URL block in provider cards.

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

src/lib/types.ts

@@ -229,6 +229,12 @@ export const ALL_AGENT_TYPES: AgentType[] = [
   "cline",
 ]
 
+export const MODEL_PROVIDER_AGENT_TYPES: AgentType[] = [
+  "claude_code",
+  "codex",
+  "gemini",
+]
+
 export const AGENT_LABELS: Record<AgentType, string> = {
   claude_code: "Claude Code",
   codex: "Codex",