Add logging

[zmofei]

Description

This pull request focuses on improving the initialization and logging process for tracing in the src/index.ts server startup sequence. The changes ensure that tracing initialization errors are captured and logged after the server connection is established, and add support for logging as a server capability.

Key improvements include:

Tracing initialization and error handling:

• Errors during tracing initialization are now stored and logged only after the server has connected, ensuring logging messages are delivered reliably. [1] [2]
• The tracing error is now consistently captured as an Error object for better message formatting. [1] [2]

Server capabilities and startup sequence:

• Added a logging capability to the server's advertised capabilities, making it clear that logging is supported.
• The order of server connection and message logging has been adjusted so that all logging (including tracing errors and status) occurs after the server is ready to send messages. [1] [2]

• Closes #[issue-number] (if applicable)

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Testing

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Checklist

• Code has been tested locally
• Unit tests have been added or updated
• Documentation has been updated if needed

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Additional Notes

[mattpodwysocki]

@zmofei Why did we bump or were we bumping manifest versions since 7.0 had not been released yet?

[Copilot]

Pull request overview

Copilot reviewed 1 out of 1 changed files in this pull request and generated no new comments.