Merge https://github.com/google/adk-python/pull/4335
Fixed 'the the' typos and grammatical errors in README, docstrings, and sample agents.
**Please ensure you have read the [contribution guide](https://github.com/google/adk-python/blob/main/CONTRIBUTING.md) before creating a pull request.**
### Link to Issue or Description of Change
**1. Link to an existing issue (if applicable):**
- Closes: N/A
- Related: N/A
**2. Or, if no issue exists, describe the change:**
**Problem:**
While exploring the repository, I noticed a few minor writing errors that impact professional readability:
1. **Grammar:** A subject-verb agreement error in `README.md` and `llms.txt` ("guide the agents works together").
2. **Duplicate Words:** Several instances of stuttering typos (repeating "the the" or "but the the") in docstrings within `src/` and the `contributing/samples/` directories.
**Solution:**
I have applied the following fixes to improve documentation quality:
* Corrected phrasing to "guide the agents to work together" in the README.
* Removed redundant instances of "the" in `eval_metrics.py`, `spanner/settings.py`, and the sample agent docstrings.
* **No functional code or logic was altered.**
### Testing Plan
**Unit Tests:**
- [x] All unit tests pass locally.
_Summary:_
Since this PR is strictly limited to documentation, comments, and docstrings, no new tests were required. I ran the standard test suite to ensure no syntax errors were accidentally introduced, and everything passed successfully.
**Manual End-to-End (E2E) Tests:**
N/A — This is a static documentation fix.
### Checklist
- [x] I have read the [CONTRIBUTING.md](https://github.com/google/adk-python/blob/main/CONTRIBUTING.md) document.
- [x] I have performed a self-review of my own code.
- [ ] I have commented my code, particularly in hard-to-understand areas. (N/A)
- [ ] I have added tests that prove my fix is effective or that my feature works. (N/A - Doc fix only)
- [x] New and existing unit tests pass locally with my changes.
- [ ] I have manually tested my changes end-to-end. (N/A)
- [x] Any dependent changes have been merged and published in downstream modules.
### Additional context
_None._
COPYBARA_INTEGRATE_REVIEW=https://github.com/google/adk-python/pull/4335 from 88448844:fix-typos-and-docs 200668dad0c216b81d7008d9d6625ac135c9006e
PiperOrigin-RevId: 865530036
Gabriel Bengo
Giovanni Galloro
Hangfei Lin
hangfei