Does syndicating third-party content onto your blog in this way expose you to legal liability for publishing that content? Are deletions and takedowns synced ba

Does syndicating third-party content onto your blog in this way expose you to legal liability for publishing that content? Are deletions and takedowns synced back from Mastodon, such as when someone is taken offline for breaking local law with their Mastodon instance, or would their content remain published on your blog?