In #15442 we created an experimental logging API to test out the new logging product.

Based on the experimental API, we devised unified public API we'd like all SDKs to implement: https://www.notion.so/sentry/Logs-in-the-SDK-1a48b10e4b5d80b1827fe14d9fd0236b#1a48b10e4b5d80a782a9efc6fd463acf

This task looks at implementing this logging API in the JavaScript SDKs

• Define logs protocol and add log envelope types: feat(core): Add types for logs protocol and envelope #15530
• Implement log buffering and flushing logic on client: feat(core): Add captureLog method #15717
• Implement public API and flushing strategy for Browser feat(browser): Add logger.X methods to browser SDK #15763
• Implement public API and flushing strategy for Node.js feat(node): Add logging public APIs to Node SDKs #15764
• Add support for string parameterization in logging methods feat(core): Add support for parameterizing logs #15812
• Add beforeSendLog option and functionality feat(core): Add support for beforeSendLog #15814
• Add basic integration tests for browser test: Add browser integration tests for logs #15815