That depends on how high or low India’s Godzilla Threshold is. If they start losing, India might start slinging nukes - and they have a particularly nasty delivery system in the BrahMos supersonic cruise missile.
Yes India might be stupid enough to launch nukes, but even there they are outnumbered at least 2-1, and China has proven anti missile defenses.
India has nothing.
Yes China would take a beating if it went nuclear, but India, would literally no longer exist as a nation state if it does.
Not to mention, if China and India were to go hot, It’s hard not to believe Pakistan would not take advantage of the situation and attack India from the west as well, provided they knew China would not act against them for it.