Remove Egress Gate from public research repo

.gitignore

@@ -124,7 +124,6 @@ lib/
 # Static site and docs output
 public/
 site/
-docs/documentation/egress-gate/
 docs/documentation/openshell-agent-runner/
 .docusaurus/
 .vitepress/cache/

docs/documentation/index.md

@@ -9,7 +9,5 @@ agent_markdown: true
 Technical documentation and references for installing, using, and extending
 OpenShell Research projects.
 
-- [Egress Gate](egress-gate/index.md): extensible middleware for applying gates
-  to outgoing HTTP requests.
 - [OpenShell Agent Runner](openshell-agent-runner/index.md): launch ephemeral
   agents for single, bounded tasks in CI and automated workflows.

projects/README.md

@@ -13,8 +13,6 @@ Current projects:
   horizons and repeated parallel attempts, starting with GitHub policy review.
 - `openshell-middleware-manager`: `omm` CLI that creates and updates version-matched
   Python and Rust OpenShell supervisor middleware projects.
-- `egress-gate`: Extensible OpenShell middleware for provider-bound HTTP
-  requests.
 - `python-project-template`: Minimal, production-ready Python project scaffold
   managed with uv.
 - `reachy-mini-openshell`: Reachy Mini conversation demo for OpenShell.