## Why
`PermissionProfile` needs stable, canonical file-system semantics before
it can become the primary runtime permissions abstraction. Without a
canonical form, callers have to keep re-deriving legacy sandbox maps and
profile comparisons remain lossy or order-dependent.
## What changed
This adds canonicalization helpers for `FileSystemPermissions` and
`PermissionProfile`, expands special paths into explicit sandbox
entries, and updates permission request/conversion paths to consume
those canonical entries. It also tightens the legacy bridge so root-wide
write profiles with narrower carveouts are not silently projected as
full-disk legacy access.
## Verification
- `cargo test -p codex-protocol
root_write_with_read_only_child_is_not_full_disk_write -- --nocapture`
- `cargo test -p codex-sandboxing permission -- --nocapture`
- `cargo test -p codex-tui permissions -- --nocapture`
Adds a built-in `request_permissions` tool and wires it through the
Codex core, protocol, and app-server layers so a running turn can ask
the client for additional permissions instead of relying on a static
session policy.
The new flow emits a `RequestPermissions` event from core, tracks the
pending request by call ID, forwards it through app-server v2 as an
`item/permissions/requestApproval` request, and resumes the tool call
once the client returns an approved subset of the requested permission
profile.
