We had exact same requirement as yours - creation of bug from salesforce.
But before providing suggestion read my answer fully.
Regarding Security: I will strongly recommend leveraging an AppExchange-approved solution over third-party integration. AppExchange, as you may know, rigorously evaluates and approves applications based on stringent security standards.
Regarding Development: It appears that there is no ready-to-use connector available for your specific needs, As an efficient alternative I recommend exploring the available options on the AppExchange and evaluating their compatibility with your requirements.
My Suggestion: We had exact same requirement as yours - creation of bug from salesforce. also we where looking for a no-coding solution with affordable pricing.
After tested several options finally concluded this app from AppExchange called ADL Connect - because of its serverless architecture.
You won't need to invest in additional servers, reducing complexity and cost while maintaining a high level of security compared to any third party software.