First you need to demonstrate leadership. One of the easiest ways to do this is to ask to take the lead on a project. It really doesn't need to be a huge project the first few can be small projects with just a few other people contributing. Your goal is just to demonstrate that you can lead. Then lead and lead successfully. Leading a failed project is the opposite of what you want to do, which is why I recommend starting with a small project because small projects are statistically 3x more likely to succeed than a moderate sized project and 10x more likely than a large project.
Second you need to demonstrate leadership. This doesn't mean no conflict but you need to demonstrate that you can get people to work with you, If all you do is take away peoples tasks, or other actions that are signs of leadership failures, then you are not demonstrating good leadership. Good leaders can get difficult people to work with them, and get the job done with out taking over their tasks. It is not enough to just succeed, you need your team to succeed. Its possible that you can demonstrate good leadership and have your project fail.
Leadership is also not just making all of the decisions. It is listening to your team, and pulling in all their ideas and getting them to implement their ideas even when they are not the choice you think is best. It is not about getting out the best product here, but showing that you can lead and many times that means letting your team make some important decisions. And if those decisions turn out to be wrong, you step up and course correct while supporting your team. You probably do not want to call out their bad decisions, just step up and help them course correct and keep the project moving forward.
It is OK to ask for help! That is not a sign of weakness, but rather an acknowledgement that you can lean on others for answers. But, when you ask for help, you have to give that advice an honest attempt. The answer your mentor or manager may give you may seem like a bad choice or something you do not really like, but you asked for their help, now show them you are willing to try your best to take their advice. When you ask for then ignore advice you are alienating the people that are ultimately responsible for making the decisions that will get you into a leadership position.
Take some leadership classes. Many companies offer career development classes and online courses. Most of these will have to be done during normally off hours, but taking them demonstrates your commitment to becoming a great leader to your company. And make sure you complete any class you sign up for with high marks.