Fix CLI Homebrew tap updates

[ChiragAgg5k]

Summary

• Detect the actually installed Homebrew formula and use it consistently for latest-version checks, automatic updates, and manual instructions.
• Warn when the installed formula is not the official Appwrite tap, recommend the tap for faster native binaries, and keep updating the currently installed formula.
• Avoid automatic formula migration; users get an explicit migration command instead.

Verification

• docker run --rm -v $(pwd):/app -w /app php:8.3-cli php example.php cli
• composer lint-twig
• bun run build:types in examples/cli

[greptile-apps]

Greptile Summary

This PR improves the Homebrew update flow by detecting the actually installed formula (appwrite core vs. appwrite/appwrite/appwrite tap) and using it consistently for version checks, automatic upgrades, manual instructions, and error hints. Previously flagged gaps — the hardcoded formula in showManualInstructions and the missing timeout on brew list — are both addressed.

Confidence Score: 5/5

Safe to merge; only a minor variable-shadowing style nit remains.

All previously flagged P1 issues (manual-instructions hardcoding, missing brew list timeout) are resolved in this PR. The remaining finding is a P2 style issue (variable shadowing) with no runtime impact.

No files require special attention.

Important Files Changed

Filename	Overview
templates/cli/lib/commands/update.ts	Adds formula detection helpers, threads the detected formula through updateViaHomebrew, showManualInstructions, and updateCli; previously flagged issues around manual instructions and error-hint consistency are now resolved.
templates/cli/lib/utils.ts	Adds getInstalledHomebrewFormula (exported), adds full_name to HomebrewInfoResponse, extends LatestVersionOptions with homebrewFormula, and threads the detected formula through getHomebrewLatestVersion and getCachedUpdateNotification; logic is sound.

_{Reviews (8): Last reviewed commit: "Fix CLI Homebrew tap updates" | Re-trigger Greptile}

[ChiragAgg5k]

Addressed review comments:\n\n- The destructive uninstall/install migration path is no longer present. For non-Appwrite-tap Homebrew installs, the CLI now warns, suggests the explicit tap install command, and continues with brew upgrade <installed-formula>.\n- Added bounded timeouts for Homebrew execFileSync calls, including brew list --formula --full-name, while preserving shorter update-check timeouts when provided.\n\nRe-verified with CLI regeneration, composer lint-twig, and bun run build:types in examples/cli.