Employer Won’t Let Me Quit, Is It Enforceable? (texas, At-will State)

I started a job about 8 months ago at a hedge fund, it was a huge mistake, i have been working 13 hour days in a toxic environment. I found a new job and gave my 2-weeks notice.

My manager said my offer letter that I signed said that I am required to give a 60 day notice and it’s not negotiable. I have said several times that it is unreasonable but they are insisting my last day will not be until April. They also somehow found out who my new employer would be and made it known to me that they figured where I was going out (it felt threatening).

I book trades for this hedge fund and my job has a lot of financial liability. I don’t want to work for more than a two week notice. If any of these trades goes sideways I don’t want them to think I was a disgruntled employee. I would never purposefully lose the company money but things happen.

I’m kind of freaking out about this. I really feel trapped in this situation and need a break from this job. If I say my last day will be two weeks from my resignation, what could the consequences be? Could they contact my current employer? Could they sue me for damages if I left after only two weeks?

I live in an at-will state. It says that in my employment agreement as well. There is nothing in my agreement that says the company would have to give me notice if I was let go. Any advice on how to leave this job would be very helpful. Thank you.

Attached below is the language in the contract-

If you elect to resign your employment with the Company for any reason, you agree, by signing below, that you will provide the Company with at least 60 days advance written notice of your last day of employment (the “notice period”). The Company may then elect to waive all or part of the notice period and consider your resignation effective immediately or continue your employment and pay you your base salary for all or part of the notice period in which event the Company may require you to remain away from the Company's place of business during such notice period. By signing below, you agree to notify any person, firm or company making any offer of employment to you (to the extent that person or entity may be affected by these resignation obligations) that you are bound by these obligations, and you agree to tell the Company the identity of that person, firm, or company as soon as possible. Employees who do not comply with these obligations concerning separation from employment, including by providing the required notice, will not receive payment for their accrued and unused vacation time upon separation. By signing this letter, you also agree that if you violate this clause of the offer letter, the Company will suffer imminent and irreparable harm and will have no adequate remedy at law to redress such harm. You further agree and consent to the enforcement of the provisions of this paragraph by means of a Court order directing you to refrain from the activities that are found to be in breach the terms of this paragraph (known as injunctive relief) for the full duration of the notice period commencing as of the date of the entry of any such order.