Code Quality Q&A and Videos

I'm an entry-level engineer who recently joined a team working in a new domain for me. Despite my best efforts, I find myself making mistakes in my code, such as forgetting edge cases, missing function calls, or mishandling character escaping (to quote a few recent ones). While these errors should ideally be caught during unit or integration testing, our team lacks a formal review process, leaving me solely responsible for testing my code before it gets merged. Consequently, bugs occasionally slip through, requiring post-deployment fixes. Although we're not a customer-facing team, I am afraid this puts a question on my reliability and erodes trust the team can place on me to write good code, that doesn't require iterations of fixes.

Could anyone offer advice on how I can better anticipate scenarios and prevent bugs from being introduced? I'm also unsure whether my challenges stem from a lack of technical skills or effective communication. How can I ensure I'm asking the right questions and considering all relevant factors before writing code?

Any insights or suggestions would be greatly appreciated.