Skip updating registration in push provider (#2227)

## Summary
The push provider's periodic updating runs the 'connect' mechanism,
which also updates the registration/integration. In iOS 16, this means
we're updating the device name to 'iPhone' because our device name
entitlement only exists in the main app. To avoid this issue, we no
longer update the registration in the push provider.

## Screenshots
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screenshots in light and dark mode. -->

## Link to pull request in Documentation repository
<!-- Pull requests that add, change or remove functionality must have a
corresponding pull request in the Companion App Documentation repository
(https://github.com/home-assistant/companion.home-assistant). Please add
the number of this pull request after the "#" -->
Documentation: home-assistant/companion.home-assistant#

## Any other notes
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Request is part of a bigger change, please include it here. -->

Sources/Shared/API/HAAPI.swift

@@ -171,40 +171,54 @@ public class HomeAssistantAPI {
     }
 
     public func Connect(reason: ConnectReason) -> Promise<Void> {
+        Current.Log.info("running connect for \(reason)")
+
+        // websocket
         connection.connect()
 
-        return firstly {
-            updateRegistration().asVoid()
-        }.recover { [self] error -> Promise<Void> in
-            switch error as? WebhookError {
-            case .unmappableValue,
-                 .unexpectedType,
-                 .unacceptableStatusCode(404),
-                 .unacceptableStatusCode(410):
-                // cloudhook will send a 404 for deleted
-                // ha directly will send a 200 with an empty body for deleted
-
-                let message = "Integration is missing; registering."
-                return Current.clientEventStore.addEvent(ClientEvent(text: message, type: .networkRequest, payload: [
-                    "error": String(describing: error),
-                ])).then { [self] in
-                    register()
+        return firstly { () -> Promise<Void> in
+            guard !Current.isAppExtension else {
+                Current.Log.info("skipping registration changes in extension")
+                return Promise<Void>.value(())
+            }
+
+            return updateRegistration().asVoid().recover { [self] error -> Promise<Void> in
+                switch error as? WebhookError {
+                case .unmappableValue,
+                     .unexpectedType,
+                     .unacceptableStatusCode(404),
+                     .unacceptableStatusCode(410):
+                    // cloudhook will send a 404 for deleted
+                    // ha directly will send a 200 with an empty body for deleted
+
+                    let message = "Integration is missing; registering."
+                    return Current.clientEventStore
+                        .addEvent(ClientEvent(text: message, type: .networkRequest, payload: [
+                            "error": String(describing: error),
+                        ])).then { [self] in
+                            register()
+                        }
+                case .unregisteredIdentifier,
+                     .unacceptableStatusCode,
+                     .replaced,
+                     .none:
+                    // not a WebhookError, or not one we think requires reintegration
+                    Current.Log.info("not re-registering, but failed to update registration: \(error)")
+                    throw error
                 }
-            case .unregisteredIdentifier,
-                 .unacceptableStatusCode,
-                 .replaced,
-                 .none:
-                // not a WebhookError, or not one we think requires reintegration
-                Current.Log.info("not re-registering, but failed to update registration: \(error)")
-                throw error
             }
-        }.then { [self] in
-            when(fulfilled: [
-                getConfig(),
-                Current.modelManager.fetch(apis: [self]),
-                UpdateSensors(trigger: reason.updateSensorTrigger).asVoid(),
-                updateComplications(passively: false).asVoid(),
-            ]).asVoid()
+        }.then { [self] () -> Promise<Void> in
+            var promises: [Promise<Void>] = []
+
+            if !Current.isAppExtension {
+                promises.append(getConfig())
+                promises.append(Current.modelManager.fetch(apis: [self]))
+                promises.append(updateComplications(passively: false).asVoid())
+            }
+
+            promises.append(UpdateSensors(trigger: reason.updateSensorTrigger).asVoid())
+
+            return when(fulfilled: promises).asVoid()
         }.get { _ in
             NotificationCenter.default.post(
                 name: Self.didConnectNotification,