feat(provider): support additive provider key lifecycle management

Add `addToLive` parameter to add_provider so callers can opt out of
writing to the live config (e.g. when duplicating an inactive provider).
Add `originalId` parameter to update_provider to support provider key
renames — the old key is removed from live config before the new one
is written.

Frontend: ProviderForm now exposes provider-key input for openclaw app
type, and EditProviderDialog forwards originalId on save. Deep-link
import passes addToLive=true to preserve existing behavior.

src-tauri/src/services/provider/live.rs

@@ -33,6 +33,21 @@ pub(crate) fn sanitize_claude_settings_for_live(settings: &Value) -> Value {
     v
 }
 
+pub(crate) fn provider_exists_in_live_config(
+    app_type: &AppType,
+    provider_id: &str,
+) -> Result<bool, AppError> {
+    match app_type {
+        AppType::OpenCode => crate::opencode_config::get_providers()
+            .map(|providers| providers.contains_key(provider_id))
+            .map_err(Into::into),
+        AppType::OpenClaw => crate::openclaw_config::get_providers()
+            .map(|providers| providers.contains_key(provider_id))
+            .map_err(Into::into),
+        _ => Ok(false),
+    }
+}
+
 fn json_is_subset(target: &Value, source: &Value) -> bool {
     match source {
         Value::Object(source_map) => {