Fix mypy errors for exporter and distro

[rads-1996]

No description provided.

[Copilot]

Pull request overview

This PR updates the Azure Monitor OpenTelemetry logging integration to address mypy issues by aligning with newer OpenTelemetry log types/exporter interfaces and adjusting internal processors and tests accordingly.

Changes:

• Switch log record typing from ReadableLogRecord to ReadWriteLogRecord across processors, managers, samples, and tests.
• Update log exporter typing from LogExporter to LogRecordExporter and rename local variables accordingly.
• Add/adjust typing suppressions and small defensive checks to satisfy mypy.

Reviewed changes

Copilot reviewed 10 out of 10 changed files in this pull request and generated 7 comments.

Show a summary per file

File	Description
sdk/monitor/azure-monitor-opentelemetry/samples/logging/modify_logs.py	Updates sample processor signature to ReadWriteLogRecord and adds a mypy suppression for attribute/index access.
sdk/monitor/azure-monitor-opentelemetry/azure/monitor/opentelemetry/_configure.py	Renames local log exporter variable to match log-record terminology used by the processor.
sdk/monitor/azure-monitor-opentelemetry-exporter/tests/performance_counters/test_processor.py	Updates test mocks to use ReadWriteLogRecord.
sdk/monitor/azure-monitor-opentelemetry-exporter/tests/performance_counters/test_performance_counters.py	Updates test mocks to use ReadWriteLogRecord.
sdk/monitor/azure-monitor-opentelemetry-exporter/azure/monitor/opentelemetry/exporter/export/logs/_processor.py	Updates processor typing to ReadWriteLogRecord and exporter type to LogRecordExporter.
sdk/monitor/azure-monitor-opentelemetry-exporter/azure/monitor/opentelemetry/exporter/export/logs/_exporter.py	Tweaks typing/docstrings and adds guards/type suppressions for mypy compatibility.
sdk/monitor/azure-monitor-opentelemetry-exporter/azure/monitor/opentelemetry/exporter/_quickpulse/_processor.py	Updates processor signature to ReadWriteLogRecord and propagates the new type.
sdk/monitor/azure-monitor-opentelemetry-exporter/azure/monitor/opentelemetry/exporter/_quickpulse/_manager.py	Updates log record typing and adds suppressions on metric instrument creation calls.
sdk/monitor/azure-monitor-opentelemetry-exporter/azure/monitor/opentelemetry/exporter/_performance_counters/_processor.py	Updates processor signature to ReadWriteLogRecord and propagates the new type.
sdk/monitor/azure-monitor-opentelemetry-exporter/azure/monitor/opentelemetry/exporter/_performance_counters/_manager.py	Updates manager log-record typing from readable to read/write log records.