feat(vertexai): Add a new sample for automatic function calling

[jaycee-li]

Description

This PR added a new sample AutomaticFunctionCalling.java for automatic function calling usage. It also updated the library version and removed a deprecated field in GroundingWithPublicData.java.

Checklist

• [x] I have followed Sample Format Guide
• [x] pom.xml parent set to latest shared-configuration
• [ ] Appropriate changes to README are included in PR
• [ ] These samples need a new API enabled in testing projects to pass (let us know which ones)
• [ ] These samples need a new/updated env vars in testing projects set to pass (let us know which ones)
• [x] Tests pass: mvn clean verify required
• [x] Lint passes: mvn -P lint checkstyle:check required
• [ ] Static Analysis: mvn -P lint clean compile pmd:cpd-check spotbugs:check advisory only
• [ ] This sample adds a new sample directory, and I updated the CODEOWNERS file with the codeowners for this sample
• [ ] This sample adds a new Product API, and I updated the Blunderbuss issue/PR auto-assigner with the codeowners for this sample
• [x] Please merge this PR for me once it is approved

[snippet-bot[bot]]

Here is the summary of changes.

You are about to add 2 region tags.

- [vertexai/snippets/src/main/java/vertexai/gemini/AutomaticFunctionCalling.java:19](https://github.com/jaycee-li/java-docs-samples/blob/58e751713439e181a3a2d485cadc63a3ce73b0c4/vertexai/snippets/src/main/java/vertexai/gemini/AutomaticFunctionCalling.java#L19), tag `generativeaionvertexai_gemini_automatic_function_calling` - [vertexai/snippets/src/main/java/vertexai/gemini/AutomaticFunctionCalling.java:20](https://github.com/jaycee-li/java-docs-samples/blob/58e751713439e181a3a2d485cadc63a3ce73b0c4/vertexai/snippets/src/main/java/vertexai/gemini/AutomaticFunctionCalling.java#L20), tag `aiplatform_gemini_automatic_function_calling`

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[Sita04]

Kindly fix the test failure.

[Sita04]

@jaycee-li gentle ping on this PR.

[jaycee-li]

@jaycee-li gentle ping on this PR.

Hi @Sita04 , apologies for the delay, I was OOO for the past 4 weeks.

Thanks for the review! I've addressed all the comments.

[jaycee-li]

Hi @Sita04, the previous integration test failed and I've fixed the issue. Could you please re-run the test? Thank you!

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