I am keen to make a career in product management, how do I make my profile standout during an application?

Happy to support you with some guidance. I would recommend you to:
Effectively pitch your profile and capture the attention of potential employers during the screening process, consider incorporating a compelling summary, highlighting your most relevant experience, particularly in relevance to the position of product manager.
Describe your achievements related to product optimization and lifecycle management in previous roles or projects, showcase your contributions and profitability, perhaps use metrics and quantifiable results to illustrate this, showcase innovation - highlighting areas where you introduced new ideas or strategies to optimize product performance, etc.
Express continuous learning and development or cross-functional collaboration employers want to see that you are passionate about the industry and the last two things are to constantly tailor your resume for each position, network, or seek recommendations from other professionals within your desired industry.
Best of luck in your pursuit!