feat(api): add support for matrix project integration

mentioned in commit da656694

mentioned in merge request gitlab-org/cli!2674 (closed)

mentioned in merge request gitlab-com/gl-infra/ringctl!425 (merged)

mentioned in merge request gitlab-com/gl-infra/woodhouse!738

mentioned in merge request hojerdev/git-sync!72

mentioned in merge request gitlab-org/release-tools!4633

mentioned in merge request gitlab-com/gl-infra/oncall-robot-assistant!110

mentioned in merge request fforster/epic-update!49 (merged)

mentioned in merge request fforster/gitlab-mcp!220 (merged)

mentioned in merge request gitlab-com/gl-infra/autolabels!145 (merged)

mentioned in merge request gitlab-com/gl-infra/platform/runway/runwayctl!1443 (merged)

mentioned in merge request sickit/token-operator!47

mentioned in merge request schober-server/kubernetes/images/gitlab-token-refresher!37

mentioned in merge request ydkn/gitlab-runner-cleanup!46 (closed)