doc(run): update logging-manual deployment instructions to use Artifa…

[jungwonenjoyericl]

…ct Registry

Description

Fixes #14633

Checklist

Testing

• I have tested this change on a live environment and verified it works as intended.

Compliance & Style

• I have followed the Sample Guidelines.
• The README is updated with all relevant information (if applicable).
• If this PR adds a new sample directory: I updated the CODEOWNERS file.

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• Please merge this PR for me once it is approved

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[gemini-code-assist]

Code Review

This pull request updates the container registry paths in the README.md from Container Registry (gcr.io) to Artifact Registry (REGION-docker.pkg.dev). Feedback was provided to correct the Artifact Registry paths, which are currently missing the required repository segment in the path format.

[gemini-code-assist]

Artifact Registry image paths require a repository name in addition to the project ID and image name, following the format LOCATION-docker.pkg.dev/PROJECT-ID/REPOSITORY/IMAGE. The current path REGION-docker.pkg.dev/${GOOGLE_CLOUD_PROJECT}/logging-manual is missing the repository segment. Please update it to include a placeholder like REPOSITORY.

Suggested change

	gcloud builds submit --tag REGION-docker.pkg.dev/${GOOGLE_CLOUD_PROJECT}/logging-manual
	# Deploy to Cloud Run
	gcloud run deploy logging-manual \
	--image gcr.io/${GOOGLE_CLOUD_PROJECT}/logging-manual \
	--image REGION-docker.pkg.dev/${GOOGLE_CLOUD_PROJECT}/logging-manual \
	gcloud builds submit --tag REGION-docker.pkg.dev/${GOOGLE_CLOUD_PROJECT}/REPOSITORY/logging-manual
	# Deploy to Cloud Run
	gcloud run deploy logging-manual \
	--image REGION-docker.pkg.dev/${GOOGLE_CLOUD_PROJECT}/REPOSITORY/logging-manual \