Looking for (1) running shoes - training for half marathon (2) workout shoes - train 5-6 days/week

Hi, I am looking for suggestions on 2 pairs of shoes

1. Running shoes: Price Under 5k preferable, can stretch upto 7k

> I am training for half marathon. Looking for a sturdy pair with good cushioning

> Should be long lasting

> Women's shoes, ~60 kg, 5'8 (not sure if this is relevant), I am okay with men's shoes too (not sure if there are gender specific variations in shoe making)

> Train about 2-3 days/weeks on an average

2. Workout shoes: Under 2k preferable, can stretch upto 3.5k

> Workout almost everyday (1 hour usually, sometimes 2 hours/day)

> Decent pair of shoes, mid cushioning is okay

> Okay with women's or men's shoes

> Grip is important

Size: 7. Unable to find shoes that meet the above criteria for the size. Mostly seen as sold out (online) on major apps. Is offline visit mandatory? I prefer online shopping.

Are there any sites to follow for sales/discount?

Do not like lighter shades: have a couple of sneakers in white - difficult to maintain. Bright colours are okay. Colour is not a mandatory need

Preferred brands: Asics > Nike/Puma/Adidas > the rest (based on my research and understanding for the price range, quality, needs)

TIA