The mesh's own files for a module are placed by the mesh, not the definition (issue 174)

48 definitions stop naming /var/lib/mesh/<module>: the directory says `place: "mesh"`, the two
subdirectories beneath it (gitea's runtime state, anthropic-manager's output) state their path
beneath it, and every credential, binding, merged file and mount names it as ${dir:mesh-state}.
Resolved on the default root, every definition names exactly the paths it named before —
TestPlacedDirectoriesKeepTheirPaths in mesh-controller, run over both checkouts. Needs the
controller that knows the word (mesh-controller, same branch) one release ahead.

modules/bazarr/module.json

@@ -8,8 +8,8 @@
     "subtitle.downloaded"
   ],
   "own-secrets": {
-    "broker": "/var/lib/mesh/bazarr/broker",
-    "api-key": "/var/lib/mesh/bazarr/api-key"
+    "broker": "${dir:mesh-state}/broker",
+    "api-key": "${dir:mesh-state}/api-key"
   },
   "listens": [
     {
@@ -42,8 +42,8 @@
     {
       "id": "mesh-state",
       "type": "directory",
-      "path": "/var/lib/mesh/bazarr",
-      "mode": "0700"
+      "mode": "0700",
+      "place": "mesh"
     },
     {
       "id": "config",
@@ -76,7 +76,7 @@
     {
       "id": "runtime-config",
       "type": "file",
-      "path": "/var/lib/mesh/bazarr/config.json",
+      "path": "${dir:mesh-state}/config.json",
       "mode": "0600",
       "content": "{}\n",
       "merge": "json"
@@ -87,9 +87,9 @@
       "name": "mesh-bazarr",
       "network": "host",
       "volumes": [
-        "/var/lib/mesh/bazarr/broker:/run/secrets/broker:ro",
-        "/var/lib/mesh/bazarr/api-key:/run/secrets/api-key:ro",
-        "/var/lib/mesh/bazarr/config.json:/run/config/config.json:ro",
+        "${dir:mesh-state}/broker:/run/secrets/broker:ro",
+        "${dir:mesh-state}/api-key:/run/secrets/api-key:ro",
+        "${dir:mesh-state}/config.json:/run/config/config.json:ro",
         "/services/bazarr/config:/var/lib/bazarr/config:ro"
       ],
       "env": {
@@ -115,7 +115,7 @@
     }
   },
   "binds": {
-    "route": "/var/lib/mesh/bazarr/route.json"
+    "route": "${dir:mesh-state}/route.json"
   },
   "build": {
     "on": [