Do I need to re-sign an intent to vacate?

Question Details: I am a resident of DE. My current lease runs out at the end of this month. As per my current lease terms, I am supposed to provide an intent to vacate 60 days prior to end of the lease. I shared my 2 BHK apartment with another person and we both signed the intent to vacate and handed it over on at the end of the month before last. I wasn't expecting to stay here in DE. My roommate found another apartment and moved out. However, by last month things changed and I landed a new job here in DE. I went and verbally spoke with my leasing office and told them that I would like to extend the lease hoping that I would be able to find a new roommate by the end of this month to share the rent with. I did not sign any paper or new lease agreement. However, now as my current lease end is approaching, I haven't been able to find a roommate and have found another cheaper place elsewhere as I cannot afford the rent for the apartment all by myself. So when I contacted my leasing office saying that I will be moving out, they asked me to sign a new intent to vacate with a 2 month notice period. This means that I am liable for rent for next month and 8 days of the month after that. Is this legally valid ? Should I sign the new intent to vacate and stay till the 8th of May or am I legally allowed to move out at the end of this month without any liability?

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