Hell no, India isn't going to launch any naval invasions of anyone! Their military just isn't set up that way, and they don't have the diplomatic cover to get away with it. And for defense of their islands, carriers aren't a very good solution. Or more accurately, if carriers could be useful, India's carriers as they exist wouldn't be. They aren't particularly good to begin with, and the MiG-29s they operate are just junk against a real opponent.
It's honestly a bit perplexing how forum level drops like a rock in Indian topic, just because it's India.
1. India has modest landing capability, and it performed overseas interventions in the past.
2. India has ongoing, if stalled, LPD program. The requirement is here.
3. Carriers, as tools to temporary bring a lot of concentrated airpower into striking position are
the tool to thwart invasion of islands. Like come on, 1942-1944 anyone? That's literally the basis for
all great carrier battles, other than Coral Sea. With understanding that Coral Sea was an accident. Moreover, there were almost none(and no succesful) attempts to interfere with anything else. Granted, we're 70 years into missile age, and now there are alternative instruments, but this in no way degrades carriers.
4. Indian mig-29k are on the level of american f-18c/d(and still serving early e/f; which, btw, aren't worse than final e in "pure" a2a), and j-15t - with caveat that they're quite thoroughly upgraded outside of air combat, and
these are the capabilities that matter for carrier strike.
They aren't 2020s 4++ aircraft, but
ignore them, and you'll be checking your life wests.
5. Rafales are coming. Ironically, more as escorts in this context, as their naval/stand off strike capabilities are below IN migs.
If India had any strategic sense, they would abandon their navy completely and focus on nothing but air-defense and mass ballistic missiles like Iran does. Cause look at the Monster that is the PLA brewing on their Borders and yet India is playing Superpower wasting money on Nuclear Carriers and LHDs.
What's the sense? China's mil policy isn't invading Dehli from Himalayas tomorrow, and it isn't realistic in any case. India is far stronger than opponents that can reach it geographically, and is nuclear just to be sure.
For all intents and purposes, India is absolutely safe as local bully, and it's been the case for decades. It's perhaps one of big reasons their defense programs are so ineffective.
Their priorities are, (1)local unrest, (2)clear trade routes, (3)not fail too much when compared to Pakistan, in this order. Yes, last one is unimpressive, but given that gdp difference is >10 times(i.e. India is much better governed even per capita), anything short of demilitarization sort of works for them.
When Pakistan was an actual threat in 1960-70s, Indians did quite well.