merge: adopt text protocol conversion feature onto refactor/ui design

Merge origin/main (c36418c86, text protocol conversion and advanced
custom routing). Backend and most frontend changes merged cleanly;
conflicts resolved with refactor/ui as the design source of truth:

- advanced-custom-editor-dialog: keep main new routing/conversion
  feature body, but use our design-system Button/Input imports and
  plain button styling; add the Badge import the new body needs
- details-dialog: adopt main isUsageBillingPathLocal helper for the
  billing path row, keep our muted icon styling
- i18n: union-merge of the new protocol-conversion keys across all
  locales

controller/model_list_test.go

@@ -131,7 +131,17 @@ func withSelfUseModeDisabled(t *testing.T) {
 	})
 }
 
-func decodeListModelsResponse(t *testing.T, recorder *httptest.ResponseRecorder) map[string]struct{} {
+func withSelfUseModeEnabled(t *testing.T) {
+	t.Helper()
+
+	original := operation_setting.SelfUseModeEnabled
+	operation_setting.SelfUseModeEnabled = true
+	t.Cleanup(func() {
+		operation_setting.SelfUseModeEnabled = original
+	})
+}
+
+func decodeListModelsPayload(t *testing.T, recorder *httptest.ResponseRecorder) listModelsResponse {
 	t.Helper()
 
 	require.Equal(t, http.StatusOK, recorder.Code)
@@ -139,7 +149,13 @@ func decodeListModelsResponse(t *testing.T, recorder *httptest.ResponseRecorder)
 	require.NoError(t, common.Unmarshal(recorder.Body.Bytes(), &payload))
 	require.True(t, payload.Success)
 	require.Equal(t, "list", payload.Object)
+	return payload
+}
 
+func decodeListModelsResponse(t *testing.T, recorder *httptest.ResponseRecorder) map[string]struct{} {
+	t.Helper()
+
+	payload := decodeListModelsPayload(t, recorder)
 	ids := make(map[string]struct{}, len(payload.Data))
 	for _, item := range payload.Data {
 		ids[item.Id] = struct{}{}
@@ -255,6 +271,77 @@ func TestListModelsIncludesTieredBillingModel(t *testing.T) {
 	require.Empty(t, missingExprPricing.BillingExpr)
 }
 
+func TestListModelsUsesAdvancedCustomEndpointTypesFromPricingCache(t *testing.T) {
+	withSelfUseModeEnabled(t)
+	db := setupModelListControllerTestDB(t)
+
+	originalMemoryCacheEnabled := common.MemoryCacheEnabled
+	common.MemoryCacheEnabled = true
+	t.Cleanup(func() {
+		common.MemoryCacheEnabled = originalMemoryCacheEnabled
+		model.InvalidatePricingCache()
+	})
+
+	require.NoError(t, db.Create(&model.User{
+		Id:       1003,
+		Username: "advanced-custom-model-list-user",
+		Password: "password",
+		Group:    "default",
+		Status:   common.UserStatusEnabled,
+	}).Error)
+
+	channel := &model.Channel{
+		Id:     701,
+		Type:   constant.ChannelTypeAdvancedCustom,
+		Key:    "advanced-custom-key",
+		Status: common.ChannelStatusEnabled,
+		Name:   "advanced-custom-channel",
+		Group:  "default",
+		Models: "gemini-3.5-flash",
+	}
+	channel.SetOtherSettings(dto.ChannelOtherSettings{
+		AdvancedCustom: &dto.AdvancedCustomConfig{
+			Routes: []dto.AdvancedCustomRoute{
+				{
+					IncomingPath: "/v1/chat/completions",
+					UpstreamPath: "/v1/chat/completions",
+				},
+				{
+					IncomingPath: "/v1/responses",
+					UpstreamPath: "/v1beta/models/{model}:generateContent",
+					Converter:    "openai_responses_to_gemini_generate_content",
+					Models:       []string{"re:^gemini-"},
+				},
+			},
+		},
+	})
+	require.NoError(t, db.Create(channel).Error)
+	require.NoError(t, db.Create(&model.Ability{
+		Group:     "default",
+		Model:     "gemini-3.5-flash",
+		ChannelId: 701,
+		Enabled:   true,
+	}).Error)
+
+	model.InitChannelCache()
+	model.GetPricing()
+
+	recorder := httptest.NewRecorder()
+	ctx, _ := gin.CreateTestContext(recorder)
+	ctx.Request = httptest.NewRequest(http.MethodGet, "/v1/models", nil)
+	ctx.Set("id", 1003)
+
+	ListModels(ctx, constant.ChannelTypeOpenAI)
+
+	payload := decodeListModelsPayload(t, recorder)
+	require.Len(t, payload.Data, 1)
+	require.Equal(t, "gemini-3.5-flash", payload.Data[0].Id)
+	require.Equal(t, []constant.EndpointType{
+		constant.EndpointTypeOpenAI,
+		constant.EndpointTypeOpenAIResponse,
+	}, payload.Data[0].SupportedEndpointTypes)
+}
+
 func TestListModelsTokenLimitIncludesTieredBillingModel(t *testing.T) {
 	withSelfUseModeDisabled(t)
 	withTieredBillingConfig(t, map[string]string{