Do I need to pay $10,000 to my employer for giving lesser notice period?

I came to US on H1B visa initiated by IBMI US which a fully owned subsidiary of IBM India Pvt Ltd. As per the offer letter, I was required to pay $10,000 in case I serve lesser than 90 days of notice period for IBM towards their service discontinuation, training, etc. Text In the event you voluntarily terminate your assignment without providing IBMI with 90 days written notice, or if your assignment is terminated for cause by IBMI, you agree to pay IBMI the amount of Ten Thousand Dollars and no/100 cents ($10,000.00), which sum represents IBMIs cost of customer service continuation, recruiting, assigning, training, educating, marketing, and your replacement. You may decide to satisfy this requirement in Lieu of, as per the following: - 0 to 60 days, the payment is $10,000 - 61 to 90 days, the payment is $5,500 I already trained my replacement in the 2 weeks notice and have a confirmation email from him and the management for that. Do I still need to pay this amount to IBM?