[C/C++] Parser support restructure for tree tokens

As part of https://github.com/Azure/azure-sdk-tools/issues/5897, the language parsers need to be updated to the new tree structure format.

Documentation can be found here: https://github.com/Azure/azure-sdk-tools/blob/main/tools/apiview/parsers/CONTRIBUTING.md

### Work from APIView team
- [ ] Enable C/C++ in APIView
- [ ] Convert existing reviews
- [ ] Test changes in Staging
- [ ] Deploy changed to Prod
- [ ] Address any cleanup issue
- [ ] https://github.com/Azure/azure-sdk-tools/issues/8916

### Work for C/C++ team
- [ ] Convert parser
- [ ] Test changes in staging

Start with tools/apiview/parsers/CONTRIBUTING.md to understand the new tree structure format and parser requirements. Locate the C/C++ parser from the repository structure, convert it to the new format, and test the changes in staging; the work is done when the parser conversion and staging test checklist items are complete.

Written by the indexing model from the issue text.