[Dashboards as code] Handle other panel references on the server

[ThomThomson]

Problem

To complete #192758 we need to ensure that all embeddable types that extract references do their extraction / injection on the server. Aside from Lens, Maps and Links, which will receive the full API treatment, we need to add a few other Embeddable types to the embeddableContentManagementRegistry registry and define transforms for them. This will allow us to remove the references section from the Dashboard API entirely, and will allow us to remove the clientside reference injection system from the Embeddable framework.

Non-platform Embeddable types

• x-pack/platform/plugins/private/data_visualizer/public/application/index_data_visualizer/embeddables/field_stats/field_stats_factory.tsx move field stats embeddable reference handling to server #245153
• EMBEDDABLE_LOG_RATE_ANALYSIS_TYPE move log rate embeddable references to server #244077
• EMBEDDABLE_PATTERN_ANALYSIS_TYPE move pattern analysis embeddable reference handling to server #244421
• EMBEDDABLE_CHANGE_POINT_CHART_TYPE move change point chart embeddable reference handling to server #244829
• SYNTHETICS_STATS_OVERVIEW_EMBEDDABLE
• SLO_OVERVIEW_EMBEDDABLE_ID move stats overview embeddable references to server #244240

[elasticmachine]

Pinging @elastic/kibana-presentation (Team:Presentation)