Seeking Advice on Master's Program Admission with Third-Class Degree

I graduated from university in 2019 with a third-class degree in Common Law. Since then, I've been working and even got called to the bar, allowing me to practice law in my country. I've developed a keen interest in pursuing a master's degree in International Business Management.

I've submitted applications to several universities and received mostly rejections. However, I've also received two conditional offers. My concern arises from the fact that I was asked to submit my certificate after receiving a conditional offer. As a result, I'm not entirely confident about securing admission.

I've done online research, but the information I've come across has been either inconclusive or misleading. Some schools that were listed as accepting third-class degrees ended up rejecting my application. I would deeply appreciate any insights you might have regarding UK universities that could potentially admit me into a master's program.

If anyone has specific information or advice on universities that consider applicants with third-class degrees, I'd be incredibly grateful for your input. I've explored various options, but firsthand experiences and recommendations would be invaluable. Thank you in advance for your help and guidance.