feat(windows): ✨ add native installation and setup support

[alsd4git]

Why

The Go binary already builds for Windows, but the repository had no native Windows installation path.

The existing install.sh advertised Windows support but relied on Unix-only behavior such as mv, chmod, and symlinks, which could fail under Git Bash/MSYS.

What changed

• Added a native PowerShell installer for Windows.
• Added support for Windows amd64 and arm64 release archives.
• Installed playconsole-cli.exe and a gpc.exe alias in the user-local programs directory.
• Added the install directory to the user PATH.
• Fixed the Git Bash installer path for Windows, including .exe handling and alias creation without symlinks.
• Added Google Cloud CLI installation through winget in setup --auto.
• Documented Windows installation and development workflows.
• Added a Windows build and test job to CI.
• Corrected authentication profile examples in the command documentation.

Validation

Tested on Windows 11:

• PowerShell installer tested end to end against release 0.5.15.
• playconsole-cli.exe version and gpc.exe version verified.
• Native Windows build passed.
• GOOS=windows GOARCH=amd64 build passed.
• internal/api and internal/cli tests passed.

Compatibility

No API changes were introduced. Linux and macOS behavior remains unchanged.

[AndroidPoet]

Thanks a lot for this, the PowerShell installer and the winget path were exactly what was missing. I rebased your branch onto current master (your commit and authorship are intact) and made two adjustments:

• Dropped the install.sh and docs/commands.md hunks. Master had already picked up .exe handling, the copy-based gpc.exe alias, zip extraction, and the --name flag docs in the audit that landed the day before your PR, so those were the only conflict and are now redundant.
• Pointed install.ps1 at master, not main. The repo's default branch is master; the old main URL you copied was itself a bug that the audit had fixed for install.sh. With main the irm | iex one-liner would 404.

Verified on Windows 11 (PowerShell 5.1): irm | iex-style run, GPC_VERSION pin, repeat run keeps a single PATH entry, bad version fails cleanly, no temp leftovers; gpc.exe version and playconsole-cli.exe version both report 0.5.16. go build, go vet, gofmt, and go test ./... pass on the rebased tree, and Google.CloudSDK resolves in winget. Merging once CI is green; this ships in the next release.

[alsd4git]

thanks