I just now went through the threads where you asked the question a Gazette is not necessary if you go that route its going to be expensive as well as you also need to publish in newspaper
go for the TG ID issued by the national portal with a medical doctors letter as medical intervention certificate and you can directly apply for female instead of Transgender marker
just make a affidavit to the same effect
currently regarding immigration each country has its own rules regarding recognition as well if you are going somewhere in Europe, US, Canada, Australia, New Zealand you won't have much problems but other countries you have to check the local laws as currently Russia does not recognise LGBQTIA so its going to be highly problematic there similarly there are few other countries