[Drilldowns] Dashboard drilldown to use PesistableStateService for trigger migrations

[Dosant]

Depends on #71431
Part of #42845

Need to replace this in-place migration: https://github.com/elastic/kibana/blob/master/x-pack/plugins/embeddable_enhanced/public/embeddables/embeddable_action_storage.ts#L126

with proper migrate chain similar to: #74352

[elasticmachine]

Pinging @elastic/kibana-app-arch (Team:AppArch)

[ppisljar]

Thank you for contributing to this issue, however, we are closing this issue due to inactivity as part of a backlog grooming effort. If you believe this feature/bug should still be considered, please reopen with a comment.