chore: forward port organization v2 API changes (#11207)

# Which Problems Are Solved

Recent changes to the v2beta and v2 API of the organization service were
directly merged to the `next` branch and release on v4.x, since the
ongoing move to the relation table, blocked it from being merged into
main.

# How the Problems Are Solved

This PR ports the following changes into main:
- fix(api): correct permission check in organization v2beta service:
https://github.com/zitadel/zitadel/commit/8dcfff97ed52a8b9fc77ecb1f972744f42cff3ed
- fix(actions v1): return org metadata again
(https://github.com/zitadel/zitadel/pull/11040)
- feat(api): move organization api
(https://github.com/zitadel/zitadel/pull/11045)

# Additional Changes

None

# Additional Context

relates to #10772

---------

Co-authored-by: Gayathri Vijayan <[email protected]>

docs/docusaurus.config.js

@@ -366,7 +366,7 @@ module.exports = {
           },
           org_v2: {
             specPath:
-              ".artifacts/openapi/zitadel/org/v2/org_service.swagger.json",
+              ".artifacts/openapi3/zitadel/org/v2/org_service.openapi.yaml",
             outputDir: "docs/apis/resources/org_service_v2",
             sidebarOptions: {
               groupPathsBy: "tag",
@@ -382,15 +382,6 @@ module.exports = {
               categoryLinkSource: "auto",
             },
           },
-          org_v2beta: {
-            specPath:
-              ".artifacts/openapi3/zitadel/org/v2beta/org_service.openapi.yaml",
-            outputDir: "docs/apis/resources/org_service_v2beta",
-            sidebarOptions: {
-              groupPathsBy: "tag",
-              categoryLinkSource: "auto",
-            },
-          },
           project_v2: {
             specPath:
               ".artifacts/openapi3/zitadel/project/v2/project_service.openapi.yaml",