chore(deps): Update Go SDK to v1.62.1 [WIP]

[krishnamd-jkp]

Description

Pre-release PR for cloud.google.com/go/storage update to v1.62.1

Link to the issue in case of a bug fix.

Testing details

1. Manual - NA
2. Unit tests - NA
3. Integration tests - Run as presubmits in this PR

Any backward incompatible change? If so, please explain.

[gemini-code-assist]

Summary of Changes

Hello, I'm Gemini Code Assist¹! I'm currently reviewing this pull request and will post my feedback shortly. In the meantime, here's a summary to help you and other reviewers quickly get up to speed!

This pull request focuses on routine dependency maintenance, specifically updating the Google Cloud Go SDK for Storage to its latest pre-release version. This ensures the project benefits from the most recent bug fixes, performance enhancements, and features provided by the updated libraries, maintaining compatibility and leveraging improvements across the Go ecosystem.

Highlights

• Go SDK Update: The primary Google Cloud Go SDK for Storage (cloud.google.com/go/storage) has been updated to a pre-release version v1.62.1-0.20260409221531-5ca653ac3e08.
• Dependency Version Bumps: Several other direct and indirect Go module dependencies have been updated, including cloud.google.com/go/iam, github.com/googleapis/gax-go/v2, various OpenTelemetry modules (go.opentelemetry.io/otel, go.opentelemetry.io/otel/metric, go.opentelemetry.io/otel/sdk, go.opentelemetry.io/otel/trace), google.golang.org/api, and google.golang.org/grpc.

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[gemini-code-assist]

Code Review

This pull request updates several Go dependencies, including Google Cloud IAM, Storage, and Longrunning libraries, as well as gRPC, OpenTelemetry, and the Google API Go client. I have no feedback to provide.