fix(loop): make sure loop runs in the correct order by updating `run_map` (#10305)

* fix: update run_map in LoopComponent to ensure correct predecessor tracking

- Added logic to update the run_map when a new predecessor is added to the run_predecessors list. This ensures that the remove_from_predecessors() function works correctly by maintaining accurate dependencies in the graph's run manager.

* feat: add execution path validation tests for graph flows

- Introduced a new test file to validate execution paths in graph flows using predefined test data.
- Implemented tests to ensure that both async_start and arun execution paths yield identical results.
- Added fixtures and helper functions to facilitate testing without external dependencies.
- Enhanced error reporting for execution mismatches to aid in debugging.

* feat: add DataFrame import to constants.py

- Introduced import for DataFrame from lfx.schema.dataframe to enhance functionality in field typing.

* chore: update component index

* refactor: update TEST_DATA_DIR path in execution path validation tests

- Changed the TEST_DATA_DIR definition to use a relative path based on the current file's location, improving portability and ensuring the tests can locate the necessary data files regardless of the environment.

* [autofix.ci] apply automated fixes

* chore: update component index

* feat: add execution path equivalence tests

This commit introduces a new test suite for validating the equivalence of execution paths between `async_start` and `arun`. The tests ensure that both paths produce identical results, execute components in compatible orders, and handle loops correctly. The `ExecutionTrace` and `ExecutionTracer` classes have been implemented to capture detailed runtime behavior and state changes during graph execution.

* refactor: simplify import statements and enhance test fixture usage

This commit refactors the import statements in the test_execution_path_validation.py file for improved readability by consolidating multiple imports from the same module into a single line. Additionally, it updates the test_flow_execution_equivalence function to include the "client" fixture, enhancing the test's setup for better execution context.

* update component index

* [autofix.ci] apply automated fixes

* chore: update component index

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