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No company match since company already pay for retirement.
The "match" for the 403b isn't exactly one in the traditional sense, because it's not a percent match based on your contribution. It's a percentage (determined by your grade level) of your "salary". And you don't have to contribute anything and they will still pay it towards your 403b. Quite frankly, a percentage of salary is typically better than a percentage of any maximum contribution for the year.
very good match , good range of alternatives with tiaa cref, fidelity, etc.
Very good 401k plan offered here