[fy20]

I don't think anyone is going to really care at interview stage how you see your career in 3 to 5 years, other than thinking "oh that's nice". At that point, most likely you will not be at the company, or they will not be at the company, or there will be no company. When companies are hiring, they are hiring for an immediate need they have now, not something they may have a few years in the future.

If you have experience performing PM duties, then I don't really see why you can't just jump straight into that. You need to sell yourself in the interview and explain why you want to become a PM and really focus on the PM responsibilities you've had before.

If you can't or feel you need more experience, you should find another lead role that has more PM responsibilities. If a company is growing fast, a lead role could allow you to transition into a engineering or product manager role quite quickly (months not years). This will be easier at smaller companies where there is a lot of overlap in responsibilities, than larger companies. You may also need to take a pay cut until you have true PM experience under your belt.