Hariniblr speak for yourself... there is no "us." If you identify and wish to be called a third gender, by all means. As far as I'm concerned, I'm just a woman, which makes me an AMAB trans woman for classification purposes for affirming treatments and on forums like this, so there is no confusion. Once done and over with, it will not be a topic of discussion unless relevant, like an intimate partner or sharing my transition experiences anonymously, etc. Socially, I identify as a woman, not a transgender woman. 😅
Note: you may be gender-fluid or genderqueer/non-binary (agender, bigender, transmasculine, or transfeminine, etc.) and are all valid and can understand why you may feel it'll be simpler if it was another gender, especially if you are an agender individual, but India already has a third gender that's mostly made up by the ritualistic Hijra community.
Unfortunately, while India is becoming trans-friendly, my state is very transphobic (often not openly, which makes things even harder) primarily because of crossdressers and Hijra folk causing people to misunderstand the complexity of gender dysphoria and the needs of us binary transgender folks who need affirming treatments to manage it. Just like the crossdresser community has transgender people, usually discovering stage or non-gender conforming, the Hijra community has too, but all are not quite the same. There are overlaps. That's all. However, the general public doesn't make the distinction. So, saying stuff like "call us third gender" will only serve to set affirming treatments and acceptance for us binary folk back several decades. 😟