Fix nix-cache remote-builder trust: stale host key + wrong sshKey path

variables.nix's nixCacheHostKey no longer matched nix-cache's actual SSH
host key (confirmed via ssh-keyscan against the live container), so every
declaratively-configured client's programs.ssh.knownHosts trusted the
wrong key -- distributed builds would fail host-key verification. Also,
modules/nix-cache/remote-builder-client.nix hardcoded sshKey to
/root/.ssh/nixremote, but the `server` host only has its own default
/root/.ssh/id_ed25519 installed (confirmed live via qm guest-agent) --
that file was never even present, so the build machine config pointed at
nothing. Standardize on each client's own default identity, matching the
per-host-key pattern vars.remoteBuilderAuthorizedKeys already uses instead
of a shared/differently-named keypair, and add
scripts/secrets/sync-nix-cache-host-key.sh (wired into
codex-maintenance.sh's --check) so the host-key drift doesn't silently
recur next time nix-cache is rebuilt or recreated.

Co-Authored-By: Claude Sonnet 5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01V7yVH71vGrDVzovh9UaMu8

docs/nix-cache.md

@@ -46,18 +46,26 @@ the new key up automatically on next activation — no more manual
 
 ## Remote builder SSH keys
 
-On each client, install the private key used to authenticate as `nixremote`:
+Each client authenticates as `nixremote` using its **own default root SSH
+identity** (`/root/.ssh/id_ed25519`) — not a separately-named or shared
+keypair. If a client doesn't have one yet:
 
 ```bash
-sudo install -d -m 0700 /root/.ssh
-sudo install -m 0600 ./nixremote /root/.ssh/nixremote
-sudo ssh -i /root/.ssh/nixremote nixremote@nix-cache nix-store --version
+sudo ssh-keygen -t ed25519 -N '' -f /root/.ssh/id_ed25519
 ```
 
-On `nix-cache`, install the matching public key used by `nixremote` authorized keys.
+Then add its `.pub` contents as a new entry in `vars.remoteBuilderAuthorizedKeys`
+(`variables.nix`) and rebuild `nix-cache` to pick it up (that list is
+declarative — an imperative `ssh-copy-id nixremote@nix-cache` won't stick;
+it gets overwritten on every rebuild). Verify with:
 
-The committed `nixremote` authorized keys are public SSH keys only. Keep the
-matching private keys on client hosts and out of the repository.
+```bash
+sudo ssh -i /root/.ssh/id_ed25519 nixremote@nix-cache nix-store --version
+```
+
+The committed `remoteBuilderAuthorizedKeys` entries are public SSH keys
+only. Keep the matching private keys on client hosts and out of the
+repository.
 
 nix-cache's own SSH *host* key is trusted declaratively via
 `programs.ssh.knownHosts` in `modules/nix-cache/remote-builder-client.nix`,
@@ -76,8 +84,8 @@ After deployment:
 curl http://nix-cache/nix-cache-info
 nix store ping --store http://nix-cache
 nix show-config | grep -E 'substituters|trusted-public-keys|builders-use-substitutes'
-sudo ssh -i /root/.ssh/nixremote nixremote@nix-cache nix-store --version
-nix build nixpkgs#hello --builders 'ssh://nixremote@nix-cache x86_64-linux /root/.ssh/nixremote 4 2 big-parallel,kvm,nixos-test,benchmark' -L
+sudo ssh -i /root/.ssh/id_ed25519 nixremote@nix-cache nix-store --version
+nix build nixpkgs#hello --builders 'ssh://nixremote@nix-cache x86_64-linux /root/.ssh/id_ed25519 4 2 big-parallel,kvm,nixos-test,benchmark' -L
 nix path-info -r nixpkgs#hello
 curl -I "http://nix-cache/$(basename "$(nix path-info nixpkgs#hello)").narinfo"
 ```