fix: wire analysis service to ingress across all clusters

Add /api/analysis → nowchess-analysis-active:8087 path rule to
eu-central-1-staging, eu-central-1-prod, and htwg-1-prod ingresses.
Rule placed before the /api catch-all so nginx routes correctly.

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

nowchess/eu-central-1-prod/ingress.yaml

@@ -63,6 +63,13 @@ spec:
                 name: nowchess-official-bots-active
                 port:
                   number: 8088
+          - path: /api/analysis
+            pathType: Prefix
+            backend:
+              service:
+                name: nowchess-analysis-active
+                port:
+                  number: 8087
           - path: /api
             pathType: Prefix
             backend:

nowchess/eu-central-1-staging/ingress.yaml

@@ -62,6 +62,13 @@ spec:
                 name: nowchess-official-bots-active
                 port:
                   number: 8088
+          - path: /api/analysis
+            pathType: Prefix
+            backend:
+              service:
+                name: nowchess-analysis-active
+                port:
+                  number: 8087
           - path: /api
             pathType: Prefix
             backend:

nowchess/htwg-1-prod/ingress.yaml

@@ -60,6 +60,13 @@ spec:
                 name: nowchess-official-bots-active
                 port:
                   number: 8088
+          - path: /api/analysis
+            pathType: Prefix
+            backend:
+              service:
+                name: nowchess-analysis-active
+                port:
+                  number: 8087
           - path: /api
             pathType: Prefix
             backend: