10k help

Hello

Just after a little bit of advice. First a little about me

46 yo male Overweight by about 1.5 stone I have been running consistently for 4 years 3x per week at around 15-20 mile in total.

My race times are 10k 50:33 Half 1:52:33

I want to get under 45 fora 10k in September.

Would increasing mileage to around 35-40 per week with little to no soles work until about mid June be a good idea?

Any advice greatly appreciated.

Thanks