Description

Add manual patch methods for Gemini and Vertex AI

Checklist for adding new integration:

[ ] Defined APIS in constants folder.
[ ] Updated SERVICE_PROVIDERS in common.ts
[ ] Created a folder under instrumentation with the name of the integration with atleast patch.ts and instrumentation.ts files.
[ ] Added instrumentation in allInstrumentations in init.ts and to the InstrumentationType in types.ts files.
[ ] Added examples for the new integration in the examples folder.
[ ] Updated package.json to install new dependencies for devDependencies.
[ ] Updated the README.md of langtrace-typescript-sdk to include the new integration in the supported integrations table.
[ ] Updated the README.md of Langtrace's repository to include the new integration in the supported integrations table.
[ ] Added new integration page to supported integrations in Langtrace Docs