feat(web): move connection downlinks to WebSocket

pnpm-lock.yaml

@@ -1018,6 +1018,9 @@ importers:
       schemastery:
         specifier: ^3.18.0
         version: link:../../../vendor/schemastery
+      ws:
+        specifier: ^8.21.0
+        version: 8.21.0
     devDependencies:
       '@deepseek-ai/dsh-host-webserver':
         specifier: workspace:^
@@ -1025,6 +1028,9 @@ importers:
       '@deepseek-ai/dsh-invariants':
         specifier: workspace:^
         version: link:../../support/invariants
+      '@types/ws':
+        specifier: ^8.18.1
+        version: 8.18.1
       cordis:
         specifier: ^4.0.0-rc.7
         version: link:../../../vendor/cordis
@@ -8971,6 +8977,9 @@ packages:
   '@types/web-bluetooth@0.0.21':
     resolution: {integrity: sha512-oIQLCGWtcFZy2JW77j9k8nHzAOpqMHLQejDA48XXMWH6tjCQHz5RCFz1bzsmROyL6PUm+LLnUiI4BCn221inxA==}
 
+  '@types/ws@8.18.1':
+    resolution: {integrity: sha512-ThVF6DCVhA8kUGy+aazFQ4kXQ7E1Ty7A3ypFOe0IcJV8O/M511G99AW24irKrW56Wt44yG9+ij8FaqoBGkuBXg==}
+
   '@typescript-eslint/parser@8.61.0':
     resolution: {integrity: sha512-5B7PfA2e1NQGCnDHd/0lW7W3gvp3d59Ryw54FYO8Uswxo9f6ikw3AZV+Xj/TvpImmpsiYyUqAfhC6kJID1jF6w==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
@@ -14028,6 +14037,10 @@ snapshots:
 
   '@types/web-bluetooth@0.0.21': {}
 
+  '@types/ws@8.18.1':
+    dependencies:
+      '@types/node': 22.20.0
+
   '@typescript-eslint/parser@8.61.0(eslint@10.5.0(jiti@2.7.0))(typescript@6.0.3)':
     dependencies:
       '@typescript-eslint/scope-manager': 8.61.0