[AAASM-2962] ✨ (profile): Add static brew-install badge to the homebrew row

[Chisanan232]

What changed

Adds a static brew install badge to the homebrew row in the org profile table, alongside the existing formula (version) badge:

[![Homebrew](https://img.shields.io/badge/brew-ai--agent--assembly%2Faasm-FBB040?logo=homebrew)](https://github.com/ai-agent-assembly/homebrew-agent-assembly)

Why both: the formula badge (github/v/release) shows the version but inherits shields.io's intermittent GitHub-token-pool flakiness; this static badge always renders and tells readers exactly how to install (brew install ai-agent-assembly/homebrew-agent-assembly/aasm — a custom tap, not homebrew-core). Follow-up to #18.

Related ticket

Refs AAASM-2962

How to verify

Org page (https://github.com/ai-agent-assembly) homebrew row shows both the formula version badge and the orange brew | ai-agent-assembly/aasm badge (links to the tap).

Checklist

• PR title follows [AAASM-XXXX] <GitEmoji> (<scope>): <summary>
• No secrets committed
• Self-review of the diff completed

[Chisanan232]

Claude Code review — AAASM-2962 follow-up (static brew-install badge)

CI state

No PR checks on profile/README.md in this org-config repo — nothing to fix. MERGEABLE; BLOCKED = required-review only.

Scope vs. request

Item	Status
Add the requested static Homebrew badge to the homebrew row	✅  added, linked to the tap repo
Keep the existing formula version badge ("also/too")	✅ preserved — both badges now in the version cell
Table integrity	✅ single-line change, 5 cells intact, no collateral edits
Reliability rationale	✅ static badge has no GitHub-API dependency (renders HTTP 200) so it's immune to the shields.io token-pool flakiness that intermittently blanks the github/v/release badge

Net: the homebrew row shows formula vX.Y.Z (version, when shields is healthy) and an always-on brew | ai-agent-assembly/aasm badge (how to install via the custom tap).

Verdict

Ready for approval and merge. No CI to fix; faithful to the request.

— Claude Code