### Elasticsearch Version

8.x

### Installed Plugins

_No response_

### Java Version

_bundled_

### OS Version

Any

### Problem Description

ILM [SwapAliasesAndDeleteSourceIndexStep](https://github.com/elastic/elasticsearch/blob/ffcf0eac010df3b5ba7989c5dd87bf362dd0d311/x-pack/plugin/core/src/main/java/org/elasticsearch/xpack/core/ilm/SwapAliasesAndDeleteSourceIndexStep.java) doesn't play nicely with with hidden aliases. 

When we copy the aliases from the source index in the move step, we do not copy the is_hidden value.

This can lead to permanently bad ILM state with an error like:

```
policy [kibana-event-log-policy] for index [.kibana-event-log-7.11.1-000044] failed on step [{"phase":"frozen","action":"searchable_snapshot","name":"swap-aliases"}]. Moving to ERROR step java.lang.IllegalStateException: alias [.kibana-event-log-7.11.1] has is_hidden set to true on indices [...]; alias must have the same is_hidden setting on all indices at org.elasticsearch.cluster.metadata.Metadata$Builder.validateAlias(Metadata.java:2089) 
```

### Steps to Reproduce

Combination of ILM and hidden aliases.

### Logs (if relevant)

_No response_
server/src/main/java/org/elasticsearch/action/admin/indices/alias/IndicesAliasesRequest.java
* Set the alias this action is operating on.
         */
        public AliasActions alias(String alias) {
            if (type == AliasActions.Type.REMOVE_INDEX) {
                throw new IllegalArgumentException("[alias] is unsupported for [" + type + "]");
            }
            if (false == Strings.hasLength(alias)) {
                throw new IllegalArgumentException("[alias] can't be empty string");
            }
            this.aliases = new String[] { alias };
            this.originalAliases = aliases;
            return this;
        }
        /**
         * Set the default routing.
         */
        public AliasActions routing(String routing) {
            if (type != AliasActions.Type.ADD) {
                throw new IllegalArgumentException("[routing] is unsupported for [" + type + "]");
            }
            this.routing = routing;
            return this;
        }
        public String searchRouting() {
            return searchRouting == null ? routing : searchRouting;
        }
        public AliasActions searchRouting(String searchRouting) {
            if (type != AliasActions.Type.ADD) {
                throw new IllegalArgumentException("[search_routing] is unsupported for [" + type + "]");
            }