When skill resources live on a mounted sub-server, the parent's list_resources() wraps them in FastMCPProviderResource — which was copying resource.meta (the raw field) instead of resource.get_meta() (the computed metadata). Any component that builds metadata dynamically via get_meta() had it silently dropped during mounting.

This fixes both sides: SkillResource and SkillFileResource now populate _meta with skill identity, and all four wrap() methods (tool, resource, prompt, template) now use get_meta() so computed metadata survives wrapping.

mcp = FastMCP("parent")
child = FastMCP("child")
child.add_provider(SkillProvider(Path("my-skill")))
mcp.mount(child, "skills")

resources = await mcp.list_resources()
for r in resources:
    skill = r.get_meta().get("fastmcp", {}).get("skill")
    if skill:
        print(f"{skill['name']} (manifest={skill['is_manifest']})")

Closes #3220