[Azure Mgmt Generator] Auto omit Azure.ResourceManager.Legacy.Operations.list

[Copilot]

Description

Many RPs use Azure.ResourceManager.Legacy.Operations.list instead of the standard Azure.ResourceManager.Operations.list. Both are already provided by the Azure.ResourceManager base library and should not be generated in client SDKs.

Changes:

• Added Azure.ResourceManager.Legacy.Operations.list to the _methodsToOmit HashSet in ManagementInputLibrary.cs, matching the existing omission pattern for the non-legacy version

This ensures the legacy operations list method is automatically filtered during code generation alongside the standard version.

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Original prompt

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This section details on the original issue you should resolve

<issue_title>[Azure Mgmt Generator] Auto omit Azure.ResourceManager.Legacy.Operations.list as well</issue_title>
<issue_description>We have omitted the operation with crossLanguageDefinitionId Azure.ResourceManager.Operations.list, but in a lot of RPs, they are using the legacy version, we should automatically omit this as well.</issue_description>

Comments on the Issue (you are @copilot in this section)

• Fixes [Azure Mgmt Generator] Auto omit Azure.ResourceManager.Legacy.Operations.list as well #54449

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