Anyone working in Western Europe here (DACH, Netherlands, British Isles)?

The job market is fucked all around now, but assuming there will be interest rate cuts in 3-4 years (optimistic), how willing would companies in these countries be to sponsor someone from India? During the boom in 2021 a lot of people from my shitty tier 3 college managed to get sponsored at Big Tech in De, Ireland and Lu. What can I start doing now to increase my chances of finding a company that can sponsor me after I gain experience? Is it a pipe dream considering Indians are now flooding even these countries to get meaningless master degrees to immigrate (which I am somewhat open to too)? My ultimate goal is getting citizenship in one of these countries, preferably EU. I’m not really interested in central and Eastern European countries because I don’t align with their beliefs and their languages are too hard.