Hello,
With your score you have chances of getting into government medical college , bihar state as last years cutoff was 560+ for EBc category in bihar under 85% quota.

With 554 NEET score your Overall Percentile will be around  98.18 - 98.68  and your NEET AIR Rank will be around 22479 - 26629

However these information is based on last years cutoff and as cutoff changes every year depending on factors like difficulty and number of candidates and recent COVID19 situation etc.

You can use careers360 college predictor to know the colleges you can get at your NEET score;- https://medicine.careers360.com/neet-college-predictor