India was not a participant in the TPP negotiations.
After Trump withdrew, the rest of the participants went on to conclude the CPTPP, which does not include India.
The negociants of the RCEP tried mightily to include India, but after a few years, India withdrew in 2019, allowing the remaining countries to conclude the deal.
The US won't join the RCEP because it includes China.
Both China and the US are possible members of CPTPP, but it's not clear whether the existing members are interested in renegotiating any terms of the existing agreement.
https://en.wikipedia.org/wiki/Trans-Pacific_Partnership
https://en.wikipedia.org/wiki/Comprehensive_and_Progressive_Agreement_for_Trans-Pacific_Partnership
https://en.wikipedia.org/wiki/Regional_Comprehensive_Economic_Partnership
The "Quad" is likely only a military liaison arrangement. I don't see India negotiating away any aspect of its sovereignty.
The Henry Kissinger "Triangulation Strategy" works wonderfully well for India --
>> HENRY KISSINGER: The idea of triangulation that we followed developed because when we — when I came into government, I thought China was the more aggressive because of Mao’s rhetoric, but Russia was the more powerful, but then through a series of events – and I thought they were together – but then through a series of events it became apparent that they were opponents.
So, when Nixon and I considered that, Nixon called a cabinet meeting and said to the cabinet, I’m going to try in effect to play them off against each other. That required positive relations with both of them. You can’t do the triangulation unless you have meaningful operations with both of them.
So, the principle which we followed when I was Secretary of State and what I instructed my subordinates to do was to make sure that you place the United States closer to both China and Russia than they are to each other.
If you know nothing else, just do that. That way both of them had a greater incentive to deal with us than they had to deal with each other.
https://nixonseminar.com/2021/03/the-nixon-seminar-march-2-2021-transcript/
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