refactor(genai): migrate region tags from generative-ai to genai folder (Batch 2)

[angelcaamal]

Description

Fixes Internal: b/521840826

Note: Before submitting a pull request, please open an issue for discussion if you are not associated with Google.

Checklist

• I have followed guidelines from CONTRIBUTING.MD and Samples Style Guide
• Tests pass: npm test (see Testing)
• Lint pass: npm run lint (see Style)
• Required CI tests pass (see CI testing)
• 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)
• This pull request is from a branch created directly off of GoogleCloudPlatform/nodejs-docs-samples. Not a fork.
• This sample adds a new sample directory, and I updated the CODEOWNERS file with the codeowners for this sample
• This sample adds a new sample directory, and I created GitHub Actions workflow 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
• Please merge this PR for me once it is approved

Note: Any check with (dev), (experimental), or (legacy) can be ignored and should not block your PR from merging (see CI testing).

[gemini-code-assist]

Code Review

This pull request updates the Google Gen AI SDK code samples by adding new region tags for Vertex AI Gemini features (such as safety settings, multi-turn chat, video, and content generation) across various sample files. Additionally, several obsolete standalone sample files and their associated test files have been removed. There are no review comments, so no feedback is provided.

[snippet-bot]

You are about to delete the following sample browser page.

• generative-ai/snippets/nonStreamingChat.js:16, tag aiplatform_gemini_multiturn_chat_nonstreaming(usage: page 1).

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Here is the summary of changes.

You are about to add 11 region tags.

• genai/safety/safety-with-txt.js:17, tag generativeaionvertexai_gemini_safety_settings
• genai/text-generation/textgen-chat-stream-with-txt.js:17, tag generativeaionvertexai_gemini_multiturn_chat_stream
• genai/text-generation/textgen-chat-with-txt.js:17, tag generativeaionvertexai_gemini_multiturn_chat_nonstreaming
• genai/text-generation/textgen-chat-with-txt.js:18, tag aiplatform_gemini_multiturn_chat_nonstreaming
• genai/text-generation/textgen-with-mute-video.js:17, tag generativeaionvertexai_gemini_single_turn_video
• genai/text-generation/textgen-with-txt-img.js:17, tag generativeaionvertexai_gemini_get_started
• genai/text-generation/textgen-with-txt-stream.js:17, tag generativeaionvertexai_gemini_content
• genai/text-generation/textgen-with-txt-stream.js:18, tag aiplatform_gemini_content
• genai/text-generation/textgen-with-txt.js:17, tag generativeaionvertexai_gemini_content_nonstreaming
• genai/text-generation/textgen-with-txt.js:18, tag aiplatform_gemini_content_nonstreaming
• genai/text-generation/textgen-with-video.js:17, tag generativeaionvertexai_gemini_video_with_audio

You are about to delete 11 region tags.

• generative-ai/snippets/gemini-video-audio.js:15, tag generativeaionvertexai_gemini_video_with_audio
• generative-ai/snippets/nonStreamingChat.js:15, tag generativeaionvertexai_gemini_multiturn_chat_nonstreaming
• generative-ai/snippets/nonStreamingChat.js:16, tag aiplatform_gemini_multiturn_chat_nonstreaming
• generative-ai/snippets/nonStreamingContent.js:15, tag generativeaionvertexai_gemini_content_nonstreaming
• generative-ai/snippets/nonStreamingContent.js:16, tag aiplatform_gemini_content_nonstreaming
• generative-ai/snippets/nonStreamingMultipartContent.js:15, tag generativeaionvertexai_gemini_get_started
• generative-ai/snippets/safetySettings.js:15, tag generativeaionvertexai_gemini_safety_settings
• generative-ai/snippets/sendMultiModalPromptWithVideo.js:15, tag generativeaionvertexai_gemini_single_turn_video
• generative-ai/snippets/streamChat.js:15, tag generativeaionvertexai_gemini_multiturn_chat_stream
• generative-ai/snippets/streamContent.js:15, tag generativeaionvertexai_gemini_content
• generative-ai/snippets/streamContent.js:16, tag aiplatform_gemini_content

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