Introduce trigger count bin mode to replace AVERAGE with DISTRIBUTION

Explanation of changes

Introduce a new bin mode specifically for the trigger count acquisition, when it creates a distribution for the number of triggers. This replaces the AVERAGE bin mode for trigger count.

The proposed bin mode name: DISTRIBUTION.

Motivation of changes

the AVERAGE bin mode for trigger count works very differently than for other protocols when AVERAGE is used. If AVERAGE is used in the current form for the trigger count, then the AVERAGE bin mode works inconsistently.

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Merge checklist

See also merge request guidelines

• Merge request has been reviewed (in-depth by a knowledgeable contributor), and is approved by a project maintainer.
• New code is covered by unit tests (or N/A).
• New code is documented and docstrings use numpydoc format (or N/A).
• New functionality: considered making private instead of extending public API (or N/A).
• Public API changed: added @deprecated and entry in deprecated code suggestions (or N/A).
• Newly added/adjusted documentation and docstrings render properly (or N/A).
• Pipeline fix or dependency update: post in #software-for-developers channel to merge main back in or update local packages (or N/A).
• Tested on hardware (or N/A).
• CHANGELOG.md for breaking changes and AUTHORS.md have been updated (or N/A).
• Update Hardware backends documentation if backend interface change or N/A
• Check whether performance is significantly affected by looking at the Performance metrics results.
• Windows tests in CI pipeline pass (manually triggered by maintainers before merging).
  • Maintainers do not hit Auto-merge, we need to actively check as manual tests do not block pipeline

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For reference, the issues workflow is described in the contribution guidelines.

Summary by CodeRabbit

Release Notes

• New Features

  • Introduced a new bin mode, BinMode.DISTRIBUTION, for the "Trigger Count" acquisition protocol.
  • Updated tutorials and documentation with detailed examples for various acquisition protocols.

• Bug Fixes

  • Adjusted handling of trigger count data to support the new distribution format.

• Documentation

  • Enhanced clarity and comprehensiveness of acquisition protocols documentation.
  • Updated tutorial to reflect changes in bin modes and their implications.

• Tests

  • Updated test cases to reflect the transition from BinMode.AVERAGE to BinMode.DISTRIBUTION.
  • Added tests for deprecation warnings related to the use of BinMode.AVERAGE.