chore(deps): update dependency apple/swift-async-algorithms to from: "1.1.1" (#1941)

This PR contains the following updates:

| Package | Update | Change |
|---|---|---|
|
[apple/swift-async-algorithms](https://redirect.github.com/apple/swift-async-algorithms)
| patch | `from: "1.1.0"` -> `from: "1.1.1"` |

---

### Release Notes

<details>
<summary>apple/swift-async-algorithms
(apple/swift-async-algorithms)</summary>

###
[`v1.1.1`](https://redirect.github.com/apple/swift-async-algorithms/releases/tag/1.1.1):
AsyncAlgorithms 1.1.1

[Compare
Source](https://redirect.github.com/apple/swift-async-algorithms/compare/1.1.0...1.1.1)

#### What's Changed

- Remove the DocC plugin as a dependency by
[@&#8203;FranzBusch](https://redirect.github.com/FranzBusch) in
[https://github.com/apple/swift-async-algorithms/pull/354](https://redirect.github.com/apple/swift-async-algorithms/pull/354)
- Simplify the version definitions and add a new definition for 1.1 by
[@&#8203;phausler](https://redirect.github.com/phausler) in
[https://github.com/apple/swift-async-algorithms/pull/359](https://redirect.github.com/apple/swift-async-algorithms/pull/359)
- Add `enable_wasm_sdk_build: true` to `pull_request.yml` by
[@&#8203;MaxDesiatov](https://redirect.github.com/MaxDesiatov) in
[https://github.com/apple/swift-async-algorithms/pull/363](https://redirect.github.com/apple/swift-async-algorithms/pull/363)
- Update the project to address concurrency failures for 6.2 build
modes. by [@&#8203;phausler](https://redirect.github.com/phausler) in
[https://github.com/apple/swift-async-algorithms/pull/362](https://redirect.github.com/apple/swift-async-algorithms/pull/362)
- Conditionalize the testing targets for non-windows targets to avoid
the TaskDriver requirements by
[@&#8203;phausler](https://redirect.github.com/phausler) in
[https://github.com/apple/swift-async-algorithms/pull/365](https://redirect.github.com/apple/swift-async-algorithms/pull/365)
- Share algorithm by
[@&#8203;phausler](https://redirect.github.com/phausler) in
[https://github.com/apple/swift-async-algorithms/pull/357](https://redirect.github.com/apple/swift-async-algorithms/pull/357)
- Fix typo in doc comment for share by
[@&#8203;Jnosh](https://redirect.github.com/Jnosh) in
[https://github.com/apple/swift-async-algorithms/pull/370](https://redirect.github.com/apple/swift-async-algorithms/pull/370)
- Fix broken documentation links in Interspersed guide by
[@&#8203;chagmn](https://redirect.github.com/chagmn) in
[https://github.com/apple/swift-async-algorithms/pull/371](https://redirect.github.com/apple/swift-async-algorithms/pull/371)
- chore: restrict GitHub workflow permissions - future-proof by
[@&#8203;incertum](https://redirect.github.com/incertum) in
[https://github.com/apple/swift-async-algorithms/pull/373](https://redirect.github.com/apple/swift-async-algorithms/pull/373)
- Add `MultiProducerSingleConsumerChannel` by
[@&#8203;FranzBusch](https://redirect.github.com/FranzBusch) in
[https://github.com/apple/swift-async-algorithms/pull/305](https://redirect.github.com/apple/swift-async-algorithms/pull/305)
- Remove the Swift 5.8 build constraint for documentation at Swift
Package Index by [@&#8203;heckj](https://redirect.github.com/heckj) in
[https://github.com/apple/swift-async-algorithms/pull/377](https://redirect.github.com/apple/swift-async-algorithms/pull/377)
- Make `MPSCAsyncChannel` source methods `nonisolated(nonsending)` by
[@&#8203;FranzBusch](https://redirect.github.com/FranzBusch) in
[https://github.com/apple/swift-async-algorithms/pull/380](https://redirect.github.com/apple/swift-async-algorithms/pull/380)

#### New Contributors

- [@&#8203;Jnosh](https://redirect.github.com/Jnosh) made their first
contribution in
[https://github.com/apple/swift-async-algorithms/pull/370](https://redirect.github.com/apple/swift-async-algorithms/pull/370)
- [@&#8203;chagmn](https://redirect.github.com/chagmn) made their first
contribution in
[https://github.com/apple/swift-async-algorithms/pull/371](https://redirect.github.com/apple/swift-async-algorithms/pull/371)
- [@&#8203;incertum](https://redirect.github.com/incertum) made their
first contribution in
[https://github.com/apple/swift-async-algorithms/pull/373](https://redirect.github.com/apple/swift-async-algorithms/pull/373)
- [@&#8203;heckj](https://redirect.github.com/heckj) made their first
contribution in
[https://github.com/apple/swift-async-algorithms/pull/377](https://redirect.github.com/apple/swift-async-algorithms/pull/377)

**Full Changelog**:
apple/swift-async-algorithms@1.0.4...1.1.1

</details>

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examples/swift_package_registry_example/Package.swift

@@ -7,6 +7,6 @@ let package = Package(
     dependencies: [
         .package(id: "apple.swift-collections", exact: "1.1.3"),
         .package(id: "apple.swift-nio", exact: "2.76.1"),
-        .package(url: "https://github.com/apple/swift-async-algorithms", from: "1.1.0"),
+        .package(url: "https://github.com/apple/swift-async-algorithms", from: "1.1.1"),
     ]
 )