Generate .NET SDK for arizeaiobservabilityeval using new management generator (Azure#52897)

* update tsp-location.yaml.

* working in progress.

* regen after rebase.

* update api view.

* update Library_Inventory.md.

* update tsp-location.yaml.

* update Library_Inventory.md.

* update commit id in tsp-location.yaml.

Author: haiyuazhang

doc/GeneratorMigration/Library_Inventory.md

@@ -4,9 +4,9 @@
 
 - Total libraries: 414
 - Management Plane (Swagger): 165
-- Management Plane (TSP-Old): 49
+- Management Plane (TSP-Old): 48
 - Management Plane (TypeSpec - @azure-typespec/http-client-csharp): 0
-- Management Plane (TypeSpec - @azure-typespec/http-client-csharp-mgmt): 10
+- Management Plane (TypeSpec - @azure-typespec/http-client-csharp-mgmt): 11
 - Management Plane (TypeSpec - @typespec/http-client-csharp): 0
 - Management Plane (TypeSpec - Unknown TypeSpec Generator: eng/emitter-package.json): 0
 - Data Plane (Swagger): 115
@@ -212,10 +212,11 @@ Total: 115
 
 ## Management Plane Libraries using TypeSpec (@azure-typespec/http-client-csharp-mgmt)
 
-TypeSpec with @azure-typespec/http-client-csharp-mgmt generator is detected by the presence of a tsp-location.yaml file with an emitterPackageJsonPath value referencing @azure-typespec/http-client-csharp-mgmt, or through special handling for specific libraries. Total: 10
+TypeSpec with @azure-typespec/http-client-csharp-mgmt generator is detected by the presence of a tsp-location.yaml file with an emitterPackageJsonPath value referencing @azure-typespec/http-client-csharp-mgmt, or through special handling for specific libraries. Total: 11
 
 | Service | Library | Path |
 | ------- | ------- | ---- |
+| arizeaiobservabilityeval | Azure.ResourceManager.ArizeAIObservabilityEval | sdk/arizeaiobservabilityeval/Azure.ResourceManager.ArizeAIObservabilityEval |
 | computerecommender | Azure.ResourceManager.Compute.Recommender | sdk/computerecommender/Azure.ResourceManager.Compute.Recommender |
 | dellstorage | Azure.ResourceManager.Dell.Storage | sdk/dellstorage/Azure.ResourceManager.Dell.Storage |
 | hybridkubernetes | Azure.ResourceManager.Kubernetes | sdk/hybridkubernetes/Azure.ResourceManager.Kubernetes |
@@ -230,12 +231,11 @@ TypeSpec with @azure-typespec/http-client-csharp-mgmt generator is detected by t
 
 ## Management Plane Libraries using TypeSpec (Old Generator)
 
-TypeSpec with old generator is detected by the presence of a tsp-location.yaml file without an emitterPackageJsonPath value, tspconfig.yaml file, tsp directory, or *.tsp files. Total: 49
+TypeSpec with old generator is detected by the presence of a tsp-location.yaml file without an emitterPackageJsonPath value, tspconfig.yaml file, tsp directory, or *.tsp files. Total: 48
 
 | Service | Library | Path |
 | ------- | ------- | ---- |
 | agricultureplatform | Azure.ResourceManager.AgriculturePlatform | sdk/agricultureplatform/Azure.ResourceManager.AgriculturePlatform |
-| arizeaiobservabilityeval | Azure.ResourceManager.ArizeAIObservabilityEval | sdk/arizeaiobservabilityeval/Azure.ResourceManager.ArizeAIObservabilityEval |
 | avs | Azure.ResourceManager.Avs | sdk/avs/Azure.ResourceManager.Avs |
 | azurestackhci | Azure.ResourceManager.Hci.Vm | sdk/azurestackhci/Azure.ResourceManager.Hci.Vm |
 | carbon | Azure.ResourceManager.CarbonOptimization | sdk/carbon/Azure.ResourceManager.CarbonOptimization |