chore: aligning release docs with latest

[georgewrmarshall]

Description

This PR updates the "Release" section of the README to align with the latest GitHub Actions workflows and processes in the module template. The motivation behind this change is to ensure that our documentation accurately reflects the current practices and procedures for releases, making it easier for both new and existing contributors to understand and participate in the release process.

Related issues

Fixes: #633

Manual testing steps

1. Review the updated "Release" section in the README for clarity and accuracy.
2. Make sure it aligned with the module template

Screenshots/Recordings

Before

After

Pre-merge author checklist

• I’ve followed MetaMask Coding Standards.
• I've clearly explained what problem this PR is solving and how it is solved.
• I've linked related issues.
• I've included manual testing steps.
• I've included screenshots/recordings if applicable.
• I’ve included tests if applicable.
• I’ve documented my code using JSDoc format if applicable.
• I’ve applied the right labels on the PR.
• I’ve properly set the pull request status to "ready for review".

Pre-merge reviewer checklist

• I've manually tested the PR (e.g., review the README, follow the steps, check the links).
• I confirm that this PR addresses all acceptance criteria described in the ticket it closes and includes the necessary testing evidence such as screenshots.