### DoD
- [ ] Create a package called `@kbn/response-ops-rule-form` under `packages/response-ops` and move all the code related to the rule form from the `@kbn/alerts-ui-shared`. Types that are used in other places should not be moved and can imported by the `@kbn/alerts-ui-shared` package.
- [ ] Export a flyout where it can be used to create rules using the new rule form.
- [ ] Replace the old flyout with the new one whenever is being used.
- [ ] Remove the old flyout from the `triggers_actions_ui` plugin along with all related code.
In https://github.com/elastic/kibana/issues/175634 we implemented the new rule form. We should use the new rule form on the create rules flyout.
Related: https://github.com/elastic/kibana/issues/179108