Add Bun example (#1456)

* Add Bun example

* Fix Bun Windows example

README.md

@@ -157,6 +157,7 @@ Every programming language and framework has its own way of caching.
 
 See [Examples](examples.md) for a list of `actions/cache` implementations for use with:
 
+* [Bun](./examples.md#bun)
 * [C# - NuGet](./examples.md#c---nuget)
 * [Clojure - Lein Deps](./examples.md#clojure---lein-deps)
 * [D - DUB](./examples.md#d---dub)

examples.md

@@ -1,5 +1,6 @@
 # Examples
 
+- [Bun](#bun)
 - [C# - NuGet](#c---nuget)
 - [Clojure - Lein Deps](#clojure---lein-deps)
 - [D - DUB](#d---dub)
@@ -41,6 +42,26 @@
 - [Swift - Mint](#swift---mint)
 - [* - Bazel](#---bazel)
 
+## Bun
+
+```yaml
+- uses: actions/cache@v4
+  with:
+    path: |
+      ~/.bun/install/cache
+    key: ${{ runner.os }}-bun-${{ hashFiles('**/bun.lockb') }}
+```
+
+### Windows
+
+```yaml
+- uses: actions/cache@v4
+  with:
+    path: |
+      ~\.bun
+    key: ${{ runner.os }}-bun-${{ hashFiles('**/bun.lockb') }}
+```
+
 ## C# - NuGet
 
 Using [NuGet lock files](https://docs.microsoft.com/nuget/consume-packages/package-references-in-project-files#locking-dependencies):