FOLLOW-UP: Automate Homebrew formula updates

[adnaan]

Context

This follow-up task was identified during the review of PR #122.

Source PR: #122
PR Title: feat: add CLI release workflow and Homebrew support
Suggested by: @claude[bot]

Task Description

Currently, after a CLI release, the Homebrew formula at livetemplate/homebrew-tap requires manual SHA256 updates. This should be automated.

Options

1. Custom workflow: Add a second workflow that updates the tap repository after release
2. GoReleaser: Migrate to GoReleaser which handles Homebrew taps automatically
3. GitHub Action: Use an existing action like mislav/bump-homebrew-formula-action

Implementation Notes

• Need to create a PAT or GitHub App with write access to the homebrew-tap repo
• Workflow should trigger after successful release
• Should update version and SHA256 checksums for all architectures

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This issue was automatically created by prmonitor from PR review comments.