[Bug]: Generic escape hatch does not support SKILL.md rendering

### Bug Description

The generic escape hatch does not support SKILL.md rendering

### Steps to Reproduce

No possible to use specify init to render SKILL.md files with --integration generic

### Expected Behavior

Get the generic SKILL.md files

### Actual Behavior

Not possible to do

### Specify CLI Version

1.0.6

### AI Agent

Not applicable

### Operating System

macOS

### Python Version

Pyton 3.13

### Error Logs

```shell

```

### Additional Context

_No response_

Start by reproducing the issue with the specified CLI version and the --integration generic option on macOS with Python 3.13. Trace the generic integration's handling of SKILL.md rendering and compare it with the working integration path. Done means generic integration can initialize and produce the expected SKILL.md files.

Written by the indexing model from the issue text.