Bridge cache fix and adding cache key to terminal logs (#5341)

Co-authored-by: Ben Keen <benkeen@microsoft.com>

Author: benkeen

common/changes/@microsoft/rush/benkeen-bridge-cache-updates_2025-08-29-15-37.json

@@ -0,0 +1,10 @@
+{
+  "changes": [
+    {
+      "packageName": "@microsoft/rush",
+      "comment": "Fix to allow Bridge Cache plugin be installed but not used when build cache disabled; add cache key to terminal logs",
+      "type": "none"
+    }
+  ],
+  "packageName": "@microsoft/rush"
+}

rush-plugins/rush-bridge-cache-plugin/src/BridgeCachePlugin.ts

@@ -83,16 +83,17 @@ export class BridgeCachePlugin implements IRushPlugin {
         ): Promise<void> => {
           const { buildCacheConfiguration } = context;
           const { terminal } = logger;
+
+          if (cacheAction === undefined) {
+            return;
+          }
+
           if (!buildCacheConfiguration?.buildCacheEnabled) {
             throw new Error(
               `The build cache must be enabled to use the "${this._actionParameterName}" parameter.`
             );
           }
 
-          if (cacheAction === undefined) {
-            return;
-          }
-
           const filteredOperations: Set<IOperationExecutionResult> = new Set();
           for (const operationExecutionResult of recordByOperation.values()) {
             if (!operationExecutionResult.operation.isNoOp) {
@@ -122,6 +123,7 @@ export class BridgeCachePlugin implements IRushPlugin {
                   terminal.writeLine(
                     `Operation "${operation.name}": Outputs have been restored from the build cache."`
                   );
+                  terminal.writeLine(`Cache key: ${projectBuildCache.cacheId}`);
                 } else {
                   terminal.writeWarningLine(
                     `Operation "${operation.name}": Outputs could not be restored from the build cache.`
@@ -155,6 +157,7 @@ export class BridgeCachePlugin implements IRushPlugin {
                   terminal.writeLine(
                     `Operation "${operation.name}": Existing outputs have been successfully written to the build cache."`
                   );
+                  terminal.writeLine(`Cache key: ${projectBuildCache.cacheId}`);
                 } else {
                   terminal.writeErrorLine(
                     `Operation "${operation.name}": An error occurred while writing existing outputs to the build cache.`
@@ -179,6 +182,7 @@ export class BridgeCachePlugin implements IRushPlugin {
     const cacheActionParameter: CommandLineParameter | undefined = context.customParameters.get(
       this._actionParameterName
     );
+
     if (cacheActionParameter) {
       if (cacheActionParameter.kind !== CommandLineParameterKind.Choice) {
         throw new Error(