permissions: migrate approval and sandbox consumers to profiles (#19393)

## Why

Runtime decisions should not infer permissions from the lossy legacy
sandbox projection once `PermissionProfile` is available. In particular,
`Disabled` and `External` need to remain distinct, and managed profiles
with split filesystem or deny-read rules should not be collapsed before
approval, network, safety, or analytics code makes decisions.

## What Changed

- Changes managed network proxy setup and network approval logic to use
`PermissionProfile` when deciding whether a managed sandbox is active.
- Migrates patch safety, Guardian/user-shell approval paths, Landlock
helper setup, analytics sandbox classification, and selected
turn/session code to profile-backed permissions.
- Validates command-level profile overrides against the constrained
`PermissionProfile` rather than a strict `SandboxPolicy` round trip.
- Preserves configured deny-read restrictions when command profiles are
narrowed.
- Adds coverage for profile-backed trust, network proxy/approval
behavior, patch safety, analytics classification, and command-profile
narrowing.

## Verification

- `cargo test -p codex-core direct_write_roots`
- `cargo test -p codex-core runtime_roots_to_legacy_projection`
- `cargo test -p codex-app-server
requested_permissions_trust_project_uses_permission_profile_intent`




































































---
[//]: # (BEGIN SAPLING FOOTER)
Stack created with [Sapling](https://sapling-scm.com). Best reviewed
with [ReviewStack](https://reviewstack.dev/openai/codex/pull/19393).
* #19395
* #19394
* __->__ #19393

codex-rs/core/src/apply_patch.rs

@@ -35,11 +35,10 @@ pub(crate) async fn apply_patch(
     file_system_sandbox_policy: &FileSystemSandboxPolicy,
     action: ApplyPatchAction,
 ) -> InternalApplyPatchInvocation {
-    let sandbox_policy = turn_context.sandbox_policy();
     match assess_patch_safety(
         &action,
         turn_context.approval_policy.value(),
-        &sandbox_policy,
+        &turn_context.permission_profile(),
         file_system_sandbox_policy,
         &turn_context.cwd,
         turn_context.windows_sandbox_level,