[Bug][TCGC]: empty name when certain models are used as spread body

[archerzz]

Describe the bug

Some models won't get a name when they are used as spread body.

Here is an example.

• CreateChatCompletionRequest is the model: https://github.com/Azure/autorest.csharp/blob/a37076386944d9230b94d60e13e6362089801cef/test/UnbrandedProjects/Platform-OpenAI-TypeSpec/completions/models.tsp#L144-L174
  • It has a property model which is a union of a string and an alias CHAT_COMPLETION_MODELS.
• CreateChatCompletionRequest is used as a spread boy in create operation: https://github.com/Azure/autorest.csharp/blob/a37076386944d9230b94d60e13e6362089801cef/test/UnbrandedProjects/Platform-OpenAI-TypeSpec/completions/operations.tsp#L20-L22

TCGC fails to give a name to CreateChatCompletionRequest:

Reproduction

Try to parse the definition in the link above.

Checklist

• Follow our Code of Conduct
• Check that this issue is about the Azure libraries for typespec. For bug in the typespec language or core libraries file it in the TypeSpec repo
• Check that there isn't already an issue that request the same bug to avoid creating a duplicate.
• The provided reproduction is a minimal reproducible example of the bug.

[tadelesh]

the root cause is from findContextPath does not handle nested operation group:

typespec-azure/packages/typespec-client-generator-core/src/public-utils.ts

Line 334 in b38b4ca

for (const operationGroup of listOperationGroups(context, client)) {

.