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`




































































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[//]: # (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/session/session.rs

@@ -730,7 +730,7 @@ impl Session {
                     let (network_proxy, session_network_proxy) = Self::start_managed_network_proxy(
                         spec,
                         current_exec_policy.as_ref(),
-                        config.permissions.sandbox_policy.get(),
+                        config.permissions.permission_profile.get(),
                         network_policy_decider.as_ref().map(Arc::clone),
                         blocked_request_observer.as_ref().map(Arc::clone),
                         managed_network_requirements_configured,
@@ -885,8 +885,8 @@ impl Session {
                     history_entry_count,
                     initial_messages,
                     network_proxy: session_network_proxy.filter(|_| {
-                        Self::managed_network_proxy_active_for_sandbox_policy(
-                            &session_sandbox_policy,
+                        Self::managed_network_proxy_active_for_permission_profile(
+                            session_configuration.permission_profile.get(),
                         )
                     }),
                     rollout_path,