Absconding

I am Working in a Company for the Last 3 Months (My First Company). Recently I got a New Job Offer. The New Employer is Ready to Hire me and will wait for me only for about 1 and a Half Months. So, my Current Employer is not Ready to Relieve me before 3 Months Notice Period. I tried Negotiating and was also Ready to Buy the Notice Period by Paying the Company but My Current Employer strictly wants me to Serve an entire Notice Period without any other Option. I also tried Convincing my New Employer to Wait for Me till I serve an Entire Notice Period in The Current Company but they are not willing to wait till then. So, I Submitted a Resignation and told my Current Employer that I'll Abscond by serving around a 40 - 45 Days Notice Period. My New Employer is willing to take me in as a Fresher only without any Relieving or Experience Letter as I worked in my Current Company (My First Company) for only around 3 Months. I Can't Lose My New opportunity as it is well aligned with My Longterm Goals. I won't add My Current Experience to My CV. Please Tell me whether this Course of Action will have any Negative Effect on My Career in Long Term.