(brackets) Fix brackets version check

[robmoss2k]

Description

The Brackets version check doesn't work, always stating that no Windows release is available. This change uses the more stable GitHub API to detect new versions.

Motivation and Context

Fix the broken automatic update script.

How Has this Been Tested?

Executed the update.ps1 script locally.

Screenshot (if appropriate, usually isn't needed):

Types of changes

• Bug fix (non-breaking change which fixes an issue)
• New feature (non-breaking change which adds functionality)
• Breaking change (fix or feature that would cause existing functionality to change)
• Migrated package (a package has been migrated from another repository)

Checklist:

• My code follows the code style of this repository.
• My change requires a change to documentation (this usually means the notes in the description of a package).
• I have updated the documentation accordingly (this usually means the notes in the description of a package).
• I have updated the package description and it is less than 4000 characters.
• All files are up to date with the latest Contributing Guidelines
• The added/modified package passed install/uninstall in the Chocolatey Test Environment(https://github.com/chocolatey-community/chocolatey-test-environment/). Note that we don't support the use of any other environment.
• The changes only affect a single package (not including meta package).

[AppVeyorBot]

✅ Package verification completed without issues. PR is now pending human review

[TheCakeIsNaOH]

All PRs must have the resulting package(s) be tested in the test environment, as per the checklist in the PR.

[github-actions]

Dear contributor,

As this PR seems to have been inactive for 30 days after changes or additional information
was requested, I've automatically closed it.
If you feel the changes are still valid, please re-open the PR once all changes or additional information
that was requested has been added.
Thank you for your contribution.